Pith Number

pith:YH3SFJEY

pith:2021:YH3SFJEYZX6WMBECJ3HIRSPI7H

not attested not anchored not stored refs pending

Inverted state sums, inverted Habiro series, and indefinite theta functions

Sunghyuk Park

arxiv:2106.03942 v1 · 2021-06-07 · math.GT · hep-th · math-ph · math.MP · math.QA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YH3SFJEYZX6WMBECJ3HIRSPI7H}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

3 papers in Pith

Resurgence of Chern-Simons theory at the trivial flat connection

A supergroup series for knot complements

$c_{\rm eff}$ from Resurgence at the Stokes Line

Receipt and verification

First computed	2026-07-05T02:47:10.558001Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1f722a498cdfd6604824ece88c9e8f9f53a63c61f59384a4eefd35c043a4948

Aliases

arxiv: 2106.03942 · arxiv_version: 2106.03942v1 · doi: 10.48550/arxiv.2106.03942 · pith_short_12: YH3SFJEYZX6W · pith_short_16: YH3SFJEYZX6WMBEC · pith_short_8: YH3SFJEY

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/YH3SFJEYZX6WMBECJ3HIRSPI7H \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: c1f722a498cdfd6604824ece88c9e8f9f53a63c61f59384a4eefd35c043a4948

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15071f4943f73769dbb0a0cbee054dd23e8fe8938789a7afef2e433de6752423",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2021-06-07T20:04:40Z",
    "title_canon_sha256": "3edf3a3e3b4defec8a9a7bfb325606fa21b6de384c5173c715bdac60b1dc19c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.03942",
    "kind": "arxiv",
    "version": 1
  }
}