Pith Number

pith:2U7EF4AG

pith:2013:2U7EF4AGLXTNWIKQVBHZ3ZRPWX

not attested not anchored not stored refs pending

Critical behaviour of the O(n)-$\phi^{4}$ model with an antisymmetric order parameter

M. V. Kompaniets, N. M. Lebedev, N. V. Antonov

arxiv:1307.1991 v2 · 2013-07-08 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2U7EF4AGLXTNWIKQVBHZ3ZRPWX}

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	2026-05-18T03:11:57.252543Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d53e42f0065de6db2150a84f9de62fb5d1fc25496e0d205e18f1f8ebfcf76656

Aliases

arxiv: 1307.1991 · arxiv_version: 1307.1991v2 · doi: 10.48550/arxiv.1307.1991 · pith_short_12: 2U7EF4AGLXTN · pith_short_16: 2U7EF4AGLXTNWIKQ · pith_short_8: 2U7EF4AG

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/2U7EF4AGLXTNWIKQVBHZ3ZRPWX \
  | 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: d53e42f0065de6db2150a84f9de62fb5d1fc25496e0d205e18f1f8ebfcf76656

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d504209dc1eb5226546cf4ae0753a1d5129dc7416c1a99837bfb61e477910b7c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2013-07-08T09:12:37Z",
    "title_canon_sha256": "b20e0d4ea77eb443948f2a666c47a2cb98019e6928424ef25f23038b11f87ad6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1991",
    "kind": "arxiv",
    "version": 2
  }
}