Pith Number

pith:7CF4J2WS

pith:2021:7CF4J2WSPI54MAIVLCL5UL5O7I

not attested not anchored not stored refs pending

Dyson gas on a curved contour

A. Zabrodin, P. Wiegmann

arxiv:2111.09941 v2 · 2021-11-18 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7CF4J2WSPI54MAIVLCL5UL5O7I}

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	2026-07-05T04:13:46.020552Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f88bc4ead27a3bc601155897da2faefa3f5b075713cde8ad0245ecc7a7739a65

Aliases

arxiv: 2111.09941 · arxiv_version: 2111.09941v2 · doi: 10.48550/arxiv.2111.09941 · pith_short_12: 7CF4J2WSPI54 · pith_short_16: 7CF4J2WSPI54MAIV · pith_short_8: 7CF4J2WS

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/7CF4J2WSPI54MAIVLCL5UL5O7I \
  | 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: f88bc4ead27a3bc601155897da2faefa3f5b075713cde8ad0245ecc7a7739a65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9dea9e23ea5a6cb4865c27d51280aefecfdfb6452e3abf934b4ee2b2beba038",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2021-11-18T20:47:08Z",
    "title_canon_sha256": "a1a664271eb8998100ee04104bca14398cabe73e0867dec83d3f8e994d2a4e38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.09941",
    "kind": "arxiv",
    "version": 2
  }
}