Pith Number

pith:272X5TTH

pith:2010:272X5TTHZAKZIOALNSBCT2LLTN

not attested not anchored not stored refs pending

Processes with block-associated increments

Adam Jakubowski, Joanna Karlowska-Pik

arxiv:1009.3743 v2 · 2010-09-20 · 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{272X5TTHZAKZIOALNSBCT2LLTN}

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	2026-05-18T04:30:03.711406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7f57ece67c81594380b6c8229e96b9b75f359004f533cf8a2f11a1b8849ed67

Aliases

arxiv: 1009.3743 · arxiv_version: 1009.3743v2 · doi: 10.48550/arxiv.1009.3743 · pith_short_12: 272X5TTHZAKZ · pith_short_16: 272X5TTHZAKZIOAL · pith_short_8: 272X5TTH

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/272X5TTHZAKZIOALNSBCT2LLTN \
  | 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: d7f57ece67c81594380b6c8229e96b9b75f359004f533cf8a2f11a1b8849ed67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d94fa1f477deff6bdac267790191133fd45c93fa400b48aaf1d6c80330656df",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-09-20T09:24:02Z",
    "title_canon_sha256": "f1d311f3583995ec538e37dd40d15257e5e52240e83f064a3aa3b4f289dd8b1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.3743",
    "kind": "arxiv",
    "version": 2
  }
}