Pith Number

pith:EAB65KYP

pith:2026:EAB65KYP7PLFIANQH32NOSRWBE

not attested not anchored not stored refs pending

Absence of $\mathrm{O} (2)$ symmetry in the Vicsek model

Hideyuki Miyahara, Kota Mitsui, Tsuyoshi Mizohata, Yushin Takahashi

arxiv:2604.00930 v2 · 2026-04-01 · cond-mat.stat-mech · physics.bio-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EAB65KYP7PLFIANQH32NOSRWBE}

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	2026-07-21T00:19:57.177855Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2003eeab0ffbd65401b03ef4d74a360900c8d53c92e87040fe9baf6d39173eb3

Aliases

arxiv: 2604.00930 · arxiv_version: 2604.00930v2 · doi: 10.48550/arxiv.2604.00930 · pith_short_12: EAB65KYP7PLF · pith_short_16: EAB65KYP7PLFIANQ · pith_short_8: EAB65KYP

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/EAB65KYP7PLFIANQH32NOSRWBE \
  | 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: 2003eeab0ffbd65401b03ef4d74a360900c8d53c92e87040fe9baf6d39173eb3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c998d7284388fcdb529dc821b5da5b9fcedbfa34bf42ae26d24687f11734d34f",
    "cross_cats_sorted": [
      "physics.bio-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2026-04-01T14:08:25Z",
    "title_canon_sha256": "a7647b3e5cbb65ac54b5c2be972a83a1918d69e0bd43f0e3460a8cc65de7bbe7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.00930",
    "kind": "arxiv",
    "version": 2
  }
}