Pith Number

pith:TECMMJHC

pith:2025:TECMMJHC4J6X6NDOXDRWAXN5DQ

not attested not anchored not stored refs pending

Integrating Neural Networks and Tensor Networks for Computing Free Energy

Feng Pan, Hanyan Cao, Pan Zhang, Yijia Wang

arxiv:2504.12037 v1 · 2025-04-16 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TECMMJHC4J6X6NDOXDRWAXN5DQ}

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	2026-07-05T10:50:01.732085Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9904c624e2e27d7f346eb8e3605dbd1c3b650ec3a4bf35868ed2da5611e4ac33

Aliases

arxiv: 2504.12037 · arxiv_version: 2504.12037v1 · doi: 10.48550/arxiv.2504.12037 · pith_short_12: TECMMJHC4J6X · pith_short_16: TECMMJHC4J6X6NDO · pith_short_8: TECMMJHC

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/TECMMJHC4J6X6NDOXDRWAXN5DQ \
  | 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: 9904c624e2e27d7f346eb8e3605dbd1c3b650ec3a4bf35868ed2da5611e4ac33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d27df8caee2add7e3fda4394369938b42e7341c01b4f54c288f15eb24e83c495",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2025-04-16T12:52:19Z",
    "title_canon_sha256": "4353978a5b8c8fbd3a2eb33c6eec9df9af838b4e51ee1e4806f969b7299e93e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.12037",
    "kind": "arxiv",
    "version": 1
  }
}