Pith Number

pith:6L6X2YCP

pith:2004:6L6X2YCPZ67UA3CZW4SZTRXWC2

not attested not anchored not stored refs pending

Colored Coalescent Theory

Jianjun Tian, Xiao-Song Lin

arxiv:math/0410514 v2 · 2004-10-24 · math.PR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6L6X2YCPZ67UA3CZW4SZTRXWC2}

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	2026-07-04T14:39:18.092838Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2fd7d604fcfbf406c59b72599c6f6169ccd8dd293b5d64702645b0eb4d3d868

Aliases

arxiv: math/0410514 · arxiv_version: math/0410514v2 · doi: 10.48550/arxiv.math/0410514 · pith_short_12: 6L6X2YCPZ67U · pith_short_16: 6L6X2YCPZ67UA3CZ · pith_short_8: 6L6X2YCP

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/6L6X2YCPZ67UA3CZW4SZTRXWC2 \
  | 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: f2fd7d604fcfbf406c59b72599c6f6169ccd8dd293b5d64702645b0eb4d3d868

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e24d3df46a22970809d4288b1a2b91af8fffe906baf3e67dc9222f05a3526974",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2004-10-24T22:59:19Z",
    "title_canon_sha256": "53822a6c4bae0d9a128e18505eadc326d6736e0c1c7dabb1ecec4184c3cf2858"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0410514",
    "kind": "arxiv",
    "version": 2
  }
}