Pith Number

pith:PPYI57SX

pith:2013:PPYI57SXLNN2OIP2IQHN2CQPU5

not attested not anchored not stored refs pending

Independent Process Approximations for Random Combinatorial Structures

Richard Arratia, Simon Tavare

arxiv:1308.3279 v1 · 2013-08-15 · 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{PPYI57SXLNN2OIP2IQHN2CQPU5}

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	2026-05-18T03:15:55.225598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bf08efe575b5ba721fa440edd0a0fa7599d569eb9325352c804445ab13bc5b3

Aliases

arxiv: 1308.3279 · arxiv_version: 1308.3279v1 · doi: 10.48550/arxiv.1308.3279 · pith_short_12: PPYI57SXLNN2 · pith_short_16: PPYI57SXLNN2OIP2 · pith_short_8: PPYI57SX

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/PPYI57SXLNN2OIP2IQHN2CQPU5 \
  | 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: 7bf08efe575b5ba721fa440edd0a0fa7599d569eb9325352c804445ab13bc5b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b768163fff68cceac10397bf58c8978bd6d0ba503de0944f259462279f85424d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-08-15T00:13:33Z",
    "title_canon_sha256": "4830b055aafc9e719402157f8bf3a0266a05695b64102dd5112b03211d3aa571"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.3279",
    "kind": "arxiv",
    "version": 1
  }
}