Pith Number

pith:W5PRBO5M

pith:2019:W5PRBO5ML5F65XZPDRVNQAQ5GC

not attested not anchored not stored refs pending

Higher rank $\hat{Z}$ and $F_K$

Sunghyuk Park

arxiv:1909.13002 v3 · 2019-09-28 · 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{W5PRBO5ML5F65XZPDRVNQAQ5GC}

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

1 paper in Pith

A supergroup series for knot complements

Receipt and verification

First computed	2026-07-05T01:05:24.113791Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b75f10bbac5f4beedf2f1c6ad8021d30a5d0a1fdd75695cd6dd0bd22b8c33c53

Aliases

arxiv: 1909.13002 · arxiv_version: 1909.13002v3 · doi: 10.48550/arxiv.1909.13002 · pith_short_12: W5PRBO5ML5F6 · pith_short_16: W5PRBO5ML5F65XZP · pith_short_8: W5PRBO5M

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/W5PRBO5ML5F65XZPDRVNQAQ5GC \
  | 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: b75f10bbac5f4beedf2f1c6ad8021d30a5d0a1fdd75695cd6dd0bd22b8c33c53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5de8bc33430a2e892f16149dd1db63e858180931468b2f4d811f8432e3c3286b",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP",
      "math.QA"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-09-28T01:37:04Z",
    "title_canon_sha256": "3e8d2330411bc3ecb010de13ae9cb018cbe31586af1684247ddc4715f0d47751"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.13002",
    "kind": "arxiv",
    "version": 3
  }
}