Pith Number

pith:2N7WYIWY

pith:2011:2N7WYIWYCIF6KTPXNG7GOIMSHG

not attested not anchored not stored refs pending

Can We Rigorously Define Phases in a Finite System?

A. I. Ivanytskyi, A. S. Sorin, E. G. Nikonov, G. M. Zinovjev, K. A. Bugaev

arxiv:1106.5939 v1 · 2011-06-29 · nucl-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2N7WYIWYCIF6KTPXNG7GOIMSHG}

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	2026-05-18T04:19:04.863089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d37f6c22d8120be54df769be67219239bd290dc11683a1683d7cd17981615d3b

Aliases

arxiv: 1106.5939 · arxiv_version: 1106.5939v1 · doi: 10.48550/arxiv.1106.5939 · pith_short_12: 2N7WYIWYCIF6 · pith_short_16: 2N7WYIWYCIF6KTPX · pith_short_8: 2N7WYIWY

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/2N7WYIWYCIF6KTPXNG7GOIMSHG \
  | 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: d37f6c22d8120be54df769be67219239bd290dc11683a1683d7cd17981615d3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af56d4ceaa3e63fe8008cf822d45e6a76336c12e58960a0e7c6d99435d906387",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nucl-th",
    "submitted_at": "2011-06-29T13:53:18Z",
    "title_canon_sha256": "90a6fd1b376303a7e9bc5861820467a1e712f9e57f97d5f91b829c71d0ca3898"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.5939",
    "kind": "arxiv",
    "version": 1
  }
}