Pith Number

pith:UWJFBQ24

pith:2013:UWJFBQ245RBKEIIS43KLSORCNE

not attested not anchored not stored refs pending

Phase transitions, hysteresis, and hyperbolicity for self-organized alignment dynamics

Amic Frouvelle (CEREMADE), Jian-Guo Liu, Pierre Degond (IMT)

arxiv:1304.2929 v2 · 2013-04-10 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UWJFBQ245RBKEIIS43KLSORCNE}

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	2026-05-18T02:41:59.771520Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a59250c35cec42a22112e6d4b93a22693ab971478fd1de69304bbfb40f6269ce

Aliases

arxiv: 1304.2929 · arxiv_version: 1304.2929v2 · doi: 10.48550/arxiv.1304.2929 · pith_short_12: UWJFBQ245RBK · pith_short_16: UWJFBQ245RBKEIIS · pith_short_8: UWJFBQ24

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/UWJFBQ245RBKEIIS43KLSORCNE \
  | 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: a59250c35cec42a22112e6d4b93a22693ab971478fd1de69304bbfb40f6269ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2cfba7a24b4520d9a44e1756b2bedafd628e7fff16f951d1af7e5b0819d89199",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-04-10T12:25:31Z",
    "title_canon_sha256": "bcd6f4a4424659e629a9aa3ae8bb4d26743eb5a9d38ba2adc4f6faaa786d90f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.2929",
    "kind": "arxiv",
    "version": 2
  }
}