Pith Number

pith:463A2GSM

pith:2015:463A2GSMZDENTLGUIQHF46SD4F

not attested not anchored not stored refs pending

Hagedorn transition and topological entanglement entropy

Fen Zuo, Yi-hong Gao

arxiv:1511.02028 v3 · 2015-11-06 · hep-th · hep-lat · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{463A2GSMZDENTLGUIQHF46SD4F}

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	2026-05-18T01:12:12.964309Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7b60d1a4cc8c8d9acd4440e5e7a43e1435e5b384bff5394d9d03107bbb86c00

Aliases

arxiv: 1511.02028 · arxiv_version: 1511.02028v3 · doi: 10.48550/arxiv.1511.02028 · pith_short_12: 463A2GSMZDEN · pith_short_16: 463A2GSMZDENTLGU · pith_short_8: 463A2GSM

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/463A2GSMZDENTLGUIQHF46SD4F \
  | 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: e7b60d1a4cc8c8d9acd4440e5e7a43e1435e5b384bff5394d9d03107bbb86c00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1304964297af29076700d560c0c80293f3c62aaa990152aa0bf93620b003fc2",
    "cross_cats_sorted": [
      "hep-lat",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-11-06T10:43:50Z",
    "title_canon_sha256": "326b4e02dc64359f019228d5569fd46a6958cac871f88635323046a5425b92b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.02028",
    "kind": "arxiv",
    "version": 3
  }
}