Pith Number

pith:IXV64YDM

pith:2016:IXV64YDMGWMKOCN66SXVZN72CR

not attested not anchored not stored refs pending

Rigid representations of the multiplicative coalescent with linear deletion

Balazs Rath, James B. Martin

arxiv:1610.00891 v2 · 2016-10-04 · 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{IXV64YDMGWMKOCN66SXVZN72CR}

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	2026-05-18T00:32:44.280686Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45ebee606c3598a709bef4af5cb7fa145a67b7e6a17281503eeab49ef81092b5

Aliases

arxiv: 1610.00891 · arxiv_version: 1610.00891v2 · doi: 10.48550/arxiv.1610.00891 · pith_short_12: IXV64YDMGWMK · pith_short_16: IXV64YDMGWMKOCN6 · pith_short_8: IXV64YDM

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/IXV64YDMGWMKOCN66SXVZN72CR \
  | 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: 45ebee606c3598a709bef4af5cb7fa145a67b7e6a17281503eeab49ef81092b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6e98d45d4d02d1a7323ffe7632daae24a4b3cb2c48cd3779630337d861970eb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-10-04T08:09:01Z",
    "title_canon_sha256": "d718d03e5e1f57a2942676fedda3501cbd883161677aefff8e6b0ba7d2ac0ff6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.00891",
    "kind": "arxiv",
    "version": 2
  }
}