Pith Number

pith:4JFFLN5N

pith:2026:4JFFLN5NSUV6WYOAEVGWCZSS4G

not attested not anchored not stored refs pending

Exploring Structures in Physics Problems: Can AI Agents Discover Statistical Mechanical Mappings?

Wanbing Zhao, Wanyu Zhao

arxiv:2607.26367 v1 · 2026-07-29 · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4JFFLN5NSUV6WYOAEVGWCZSS4G}

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	2026-07-30T01:18:13.050099Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

e24a55b7ad952beb61c0254d616652e1a9f2867f241a7b44edec55620b5b1ddf

Aliases

arxiv: 2607.26367 · arxiv_version: 2607.26367v1 · doi: 10.48550/arxiv.2607.26367 · pith_short_12: 4JFFLN5NSUV6 · pith_short_16: 4JFFLN5NSUV6WYOA · pith_short_8: 4JFFLN5N

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/4JFFLN5NSUV6WYOAEVGWCZSS4G \
  | 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: e24a55b7ad952beb61c0254d616652e1a9f2867f241a7b44edec55620b5b1ddf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0bdf1f8875624a1e811ba8db9d0813262d9f8badc7a166263e29b0426bd4e3f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2026-07-29T01:00:59Z",
    "title_canon_sha256": "836364ca8828737775afb1c043a9e2442243823f874490cffd295314126db270"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.26367",
    "kind": "arxiv",
    "version": 1
  }
}