Pith Number

pith:EYJKA5ND

pith:2010:EYJKA5NDO42ENM4MSMWMELGPW4

not attested not anchored not stored refs pending

Coupling and Applications

Feng-Yu Wang

arxiv:1012.5687 v1 · 2010-12-28 · 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{EYJKA5NDO42ENM4MSMWMELGPW4}

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	2026-05-18T04:32:22.560497Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2612a075a3773446b38c932cc22ccfb72a3e835e80a63a805ba80c57c3dee891

Aliases

arxiv: 1012.5687 · arxiv_version: 1012.5687v1 · doi: 10.48550/arxiv.1012.5687 · pith_short_12: EYJKA5NDO42E · pith_short_16: EYJKA5NDO42ENM4M · pith_short_8: EYJKA5ND

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/EYJKA5NDO42ENM4MSMWMELGPW4 \
  | 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: 2612a075a3773446b38c932cc22ccfb72a3e835e80a63a805ba80c57c3dee891

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4039bf84a420029999e236f1507dbfe5bb5a5f83b19e08651be49f876d8f2f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-12-28T03:12:07Z",
    "title_canon_sha256": "0b246daad01334777a60ea98aa91a8bb1a93e162a9cb78e3bcfb9964b3a2849a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5687",
    "kind": "arxiv",
    "version": 1
  }
}