Pith Number

pith:LBXAFD2N

pith:2010:LBXAFD2NPE2ATIY73EC5O5GHOP

not attested not anchored not stored refs pending

On the moments and the interface of the symbiotic branching model

Alison Etheridge, Jochen Blath, Leif Doering

arxiv:1012.1759 v1 · 2010-12-08 · 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{LBXAFD2NPE2ATIY73EC5O5GHOP}

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	2026-05-18T04:33:51.303961Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

586e028f4d793409a31fd905d774c773f70d65d6c938a476143fcb23d9d9c6b6

Aliases

arxiv: 1012.1759 · arxiv_version: 1012.1759v1 · doi: 10.48550/arxiv.1012.1759 · pith_short_12: LBXAFD2NPE2A · pith_short_16: LBXAFD2NPE2ATIY7 · pith_short_8: LBXAFD2N

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/LBXAFD2NPE2ATIY73EC5O5GHOP \
  | 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: 586e028f4d793409a31fd905d774c773f70d65d6c938a476143fcb23d9d9c6b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b11cb8e15b8370746bb14dcea4110f903e85548b5f713f5cb006e84ff73f88f7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-12-08T13:37:26Z",
    "title_canon_sha256": "1d6bbf3fbbadfa7e773f04d2845eef7b6b97cf3d72ce599611d06562075590fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.1759",
    "kind": "arxiv",
    "version": 1
  }
}