Pith Number

pith:7I26A2WI

pith:2005:7I26A2WINYI5ERBT67CL7H3QQ3

not attested not anchored not stored refs pending

The critical Branching Markov Chain is transient

Nina Gantert, Sebastian Mueller

arxiv:math/0510556 v1 · 2005-10-26 · 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{7I26A2WINYI5ERBT67CL7H3QQ3}

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	2026-05-18T01:05:22.951421Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa35e06ac86e11d24433f7c4bf9f7086fa0d38b613dee7aeb5e8ada915b52ad0

Aliases

arxiv: math/0510556 · arxiv_version: math/0510556v1 · doi: 10.48550/arxiv.math/0510556 · pith_short_12: 7I26A2WINYI5 · pith_short_16: 7I26A2WINYI5ERBT · pith_short_8: 7I26A2WI

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/7I26A2WINYI5ERBT67CL7H3QQ3 \
  | 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: fa35e06ac86e11d24433f7c4bf9f7086fa0d38b613dee7aeb5e8ada915b52ad0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a1d31682fa9de354d34d67d6f070ba1491ed100c4c83636f60c7fe85fb3bf70",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2005-10-26T11:47:04Z",
    "title_canon_sha256": "dc650b062d8d2f1f8598e9ca44c38ce3f8c9276442b102de0b40687b1fc2fdff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0510556",
    "kind": "arxiv",
    "version": 1
  }
}