Pith Number

pith:TACA5354

pith:2026:TACA53543MFGN2ZLXR674F4BQY

not attested not anchored not stored refs pending

History-informed Lagrangian Neural Networks

He Cao, Jia Gao, Tianshuo Zhang, Wenzhe Zhai, Xianglei Xing

arxiv:2608.13215 v1 · 2026-08-13 · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TACA53543MFGN2ZLXR674F4BQY}

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	2026-08-14T01:00:41.333896Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98040eefbcdb0a66eb2bbc7dfe17818605c54f7a1a97580434d335c3b4f5cfe1

Aliases

arxiv: 2608.13215 · arxiv_version: 2608.13215v1 · doi: 10.48550/arxiv.2608.13215 · pith_short_12: TACA53543MFG · pith_short_16: TACA53543MFGN2ZL · pith_short_8: TACA5354

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/TACA53543MFGN2ZLXR674F4BQY \
  | 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: 98040eefbcdb0a66eb2bbc7dfe17818605c54f7a1a97580434d335c3b4f5cfe1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb6443b9dfc40e2688978f6c0f08fd4fe79fc7728cb4f4a062d6704af9c5a458",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-08-13T13:17:55Z",
    "title_canon_sha256": "8e6506e45eb7099694dcb5173aa99a19eeeabe03c6f7a77627b906ec66d04a03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.13215",
    "kind": "arxiv",
    "version": 1
  }
}