Pith Number

pith:TQHPXUIT

pith:2017:TQHPXUITIV2S6LM7LJJYNKAR5W

not attested not anchored not stored refs pending

On the TAP free energy in the mixed $p$-spin models

Dmitry Panchenko, Wei-Kuo Chen

arxiv:1709.03468 v2 · 2017-09-11 · math.PR · 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{TQHPXUITIV2S6LM7LJJYNKAR5W}

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	2026-05-17T23:56:30.227080Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c0efbd11345752f2d9f5a5386a811edba0e7de6df059e0e40210142bbd0d2d2

Aliases

arxiv: 1709.03468 · arxiv_version: 1709.03468v2 · doi: 10.48550/arxiv.1709.03468 · pith_short_12: TQHPXUITIV2S · pith_short_16: TQHPXUITIV2S6LM7 · pith_short_8: TQHPXUIT

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/TQHPXUITIV2S6LM7LJJYNKAR5W \
  | 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: 9c0efbd11345752f2d9f5a5386a811edba0e7de6df059e0e40210142bbd0d2d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4621e8935e4d80a9f23a7ff7f21fa3c285989b8bdac5a109620c6bbf63d5b842",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-09-11T16:40:04Z",
    "title_canon_sha256": "05a2a8bdad1bed621638b774a67b8e0b3e56c4740f31d9ce1e237fbe4334fe92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.03468",
    "kind": "arxiv",
    "version": 2
  }
}