Pith Number

pith:TTAWNJBZ

pith:2014:TTAWNJBZI4BQSJHKUXIUDK7WVL

not attested not anchored not stored refs pending

Entropy discrepancy and total derivatives in trace anomaly

Alexander Patrushev, Amin Faraji Astaneh, Sergey N. Solodukhin

arxiv:1412.0452 v3 · 2014-12-01 · hep-th · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TTAWNJBZI4BQSJHKUXIUDK7WVL}

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	2026-05-18T01:30:15.402794Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9cc166a43947030924eaa5d141abf6aaf814a41c45d6a310f850c003a792d474

Aliases

arxiv: 1412.0452 · arxiv_version: 1412.0452v3 · doi: 10.48550/arxiv.1412.0452 · pith_short_12: TTAWNJBZI4BQ · pith_short_16: TTAWNJBZI4BQSJHK · pith_short_8: TTAWNJBZ

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/TTAWNJBZI4BQSJHKUXIUDK7WVL \
  | 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: 9cc166a43947030924eaa5d141abf6aaf814a41c45d6a310f850c003a792d474

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f840147e4d0c12395e3bd7a0359ae7abc2c9a50b2190357917f1fb6d4826e743",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2014-12-01T12:37:58Z",
    "title_canon_sha256": "b0882e13a8086738d714f852b443f6837dab0e474b3ecf57bec620252c05962d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.0452",
    "kind": "arxiv",
    "version": 3
  }
}