Pith Number

pith:UTISIEHF

pith:2012:UTISIEHFRHLB7YUQKZJL46H4RO

not attested not anchored not stored refs pending

Growth of critical points in one-dimensional lattice systems

Kentaro Mitsui, Masaki Tsukamoto, Masayuki Asaoka, Tomohiro Fukaya

arxiv:1206.6232 v1 · 2012-06-27 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UTISIEHFRHLB7YUQKZJL46H4RO}

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	2026-05-18T03:52:27.282731Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4d12410e589d61fe2905652be78fc8b861560db9528b4a7c350fca4b75862c4

Aliases

arxiv: 1206.6232 · arxiv_version: 1206.6232v1 · doi: 10.48550/arxiv.1206.6232 · pith_short_12: UTISIEHFRHLB · pith_short_16: UTISIEHFRHLB7YUQ · pith_short_8: UTISIEHF

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/UTISIEHFRHLB7YUQKZJL46H4RO \
  | 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: a4d12410e589d61fe2905652be78fc8b861560db9528b4a7c350fca4b75862c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f08e8b66189c3df469d4dfdddfd63f7b4d4c8cbff073a264cdf45923ec917a2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-06-27T11:30:32Z",
    "title_canon_sha256": "8b07c3ef52c14ad328bad8c3828079d8ffbeaf69ded4053e09c0a23385d0e939"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.6232",
    "kind": "arxiv",
    "version": 1
  }
}