Pith Number

pith:PIGU4PHA

pith:2024:PIGU4PHAZZDMVQ4EB7KCSC3ZEA

not attested not anchored not stored refs pending

Towards full instanton trans-series in Hofstadter's butterfly

Jie Gu, Zhaojie Xu

arxiv:2406.18098 v2 · 2024-06-26 · hep-th · cond-mat.mes-hall · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PIGU4PHAZZDMVQ4EB7KCSC3ZEA}

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

The Double Well Done Doubly-Well

Receipt and verification

First computed	2026-07-05T09:09:05.442021Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a0d4e3ce0ce46cac3840fd4290b792002d84e463671a335e9c842137bb859e3

Aliases

arxiv: 2406.18098 · arxiv_version: 2406.18098v2 · doi: 10.48550/arxiv.2406.18098 · pith_short_12: PIGU4PHAZZDM · pith_short_16: PIGU4PHAZZDMVQ4E · pith_short_8: PIGU4PHA

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/PIGU4PHAZZDMVQ4EB7KCSC3ZEA \
  | 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: 7a0d4e3ce0ce46cac3840fd4290b792002d84e463671a335e9c842137bb859e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6990578c40efb69a86a27d6a7773094363910ec3dfc7b94da6f31010b35178f",
    "cross_cats_sorted": [
      "cond-mat.mes-hall",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2024-06-26T06:17:22Z",
    "title_canon_sha256": "4d20d5c6a3c3cbdcdff5c83c8cef39128facf44a95f8d5c10a57e648a0d66dfe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.18098",
    "kind": "arxiv",
    "version": 2
  }
}