Pith Number

pith:QOD6MDLO

pith:2011:QOD6MDLOTTI6LPPD3SWADXBKBP

not attested not anchored not stored refs pending

Low-$T$ asymptotic expansion of the solution to the Yang-Yang equation

K. K. Kozlowski

arxiv:1112.6199 v3 · 2011-12-28 · math-ph · hep-th · math.MP · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QOD6MDLOTTI6LPPD3SWADXBKBP}

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.

Receipt and verification

First computed	2026-05-18T02:17:24.865262Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8387e60d6e9cd1e5bde3dcac01dc2a0bcee6b2c2479e399adb164d4e2a9c3c02

Aliases

arxiv: 1112.6199 · arxiv_version: 1112.6199v3 · doi: 10.48550/arxiv.1112.6199 · pith_short_12: QOD6MDLOTTI6 · pith_short_16: QOD6MDLOTTI6LPPD · pith_short_8: QOD6MDLO

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/QOD6MDLOTTI6LPPD3SWADXBKBP \
  | 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: 8387e60d6e9cd1e5bde3dcac01dc2a0bcee6b2c2479e399adb164d4e2a9c3c02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac0bffbc0d53fe19b1eeed616c93ea5ea571c6626cd8be2d4703e0beda258311",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-12-28T23:15:00Z",
    "title_canon_sha256": "b7a1e6a9a2b4de6d4335f6ecf531a0f808de24b3eb2e575ce90d12e121500ec0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.6199",
    "kind": "arxiv",
    "version": 3
  }
}