Pith Number

pith:3DNMDI7N

pith:2025:3DNMDI7NC7KHTPJVEFJEZQCGEH

not attested not anchored not stored refs pending

A geometric framework for curvature-dependent collective behavior of polar active agents on curved surfaces

Tatsuo Shibata

arxiv:2512.16267 v1 · 2025-12-18 · cond-mat.soft

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3DNMDI7NC7KHTPJVEFJEZQCGEH}

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	2026-07-29T01:25:32.276365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8dac1a3ed17d479bd3521524cc04621f4238b929f6f689d8ebb1233dd21acc6

Aliases

arxiv: 2512.16267 · arxiv_version: 2512.16267v1 · doi: 10.48550/arxiv.2512.16267 · pith_short_12: 3DNMDI7NC7KH · pith_short_16: 3DNMDI7NC7KHTPJV · pith_short_8: 3DNMDI7N

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/3DNMDI7NC7KHTPJVEFJEZQCGEH \
  | 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: d8dac1a3ed17d479bd3521524cc04621f4238b929f6f689d8ebb1233dd21acc6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f40dc5bfc7ef607aec83cee541d57ba88b57f744233bddabb0631ce50c453c3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.soft",
    "submitted_at": "2025-12-18T07:29:39Z",
    "title_canon_sha256": "13e1464821e0c711569453ebc4fb6183e88f2ebd77b967be447d6730f0b28f1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.16267",
    "kind": "arxiv",
    "version": 1
  }
}