Pith Number

pith:ZCNDZSHG

pith:2014:ZCNDZSHGV4IQTYPMFYK7FQSDQF

not attested not anchored not stored refs pending

A Solvable Two-Charge Ensemble on the Circle

Christopher D. Sinclair, Christopher Shum

arxiv:1404.5290 v2 · 2014-04-21 · math-ph · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZCNDZSHGV4IQTYPMFYK7FQSDQF}

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	2026-05-18T02:53:28.387682Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c89a3cc8e6af1109e1ec2e15f2c24381646606fec46914b7ee7cb6181a0ca6ed

Aliases

arxiv: 1404.5290 · arxiv_version: 1404.5290v2 · doi: 10.48550/arxiv.1404.5290 · pith_short_12: ZCNDZSHGV4IQ · pith_short_16: ZCNDZSHGV4IQTYPM · pith_short_8: ZCNDZSHG

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/ZCNDZSHGV4IQTYPMFYK7FQSDQF \
  | 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: c89a3cc8e6af1109e1ec2e15f2c24381646606fec46914b7ee7cb6181a0ca6ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60e7f5eab5eb963ea41d582b6224a8108dec93e0f59888b5d9a27d63ac7dc304",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-04-21T19:53:27Z",
    "title_canon_sha256": "84e49ffc1156f6409ccf2e7d89b915b359d89b1dd385936309cfa184ec8c2a29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.5290",
    "kind": "arxiv",
    "version": 2
  }
}