Pith Number

pith:Z7BYFNJJ

pith:2012:Z7BYFNJJJJHPD7LOUM7RU2G6HH

not attested not anchored not stored refs pending

Robust discrete complex analysis: A toolbox

Dmitry Chelkak

arxiv:1212.6205 v3 · 2012-12-26 · math.PR · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z7BYFNJJJJHPD7LOUM7RU2G6HH}

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	2026-05-18T01:20:59.592070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfc382b5294a4ef1fd6ea33f1a68de39dfe69f3705d7ec14a07f944a6c6e96cd

Aliases

arxiv: 1212.6205 · arxiv_version: 1212.6205v3 · doi: 10.48550/arxiv.1212.6205 · pith_short_12: Z7BYFNJJJJHP · pith_short_16: Z7BYFNJJJJHPD7LO · pith_short_8: Z7BYFNJJ

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/Z7BYFNJJJJHPD7LOUM7RU2G6HH \
  | 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: cfc382b5294a4ef1fd6ea33f1a68de39dfe69f3705d7ec14a07f944a6c6e96cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c423eaef156c2d69907f5ef51c5bd3e7e04089fe3ac485c07c4dfab95dc30a77",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-12-26T16:15:48Z",
    "title_canon_sha256": "ab4f4d7824cdf16675f6ec72ef0317d5e1e4dc28b4485941afdc638013eec6c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6205",
    "kind": "arxiv",
    "version": 3
  }
}