Pith Number

pith:GWNS5IUQ

pith:2011:GWNS5IUQ4XHC4M5VOPBHIA66LZ

not attested not anchored not stored refs pending

Markov branching in the vertex splitting model

Sigurdur Orn Stefansson

arxiv:1103.3445 v2 · 2011-03-17 · math-ph · cond-mat.stat-mech · math.MP · 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{GWNS5IUQ4XHC4M5VOPBHIA66LZ}

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	2026-05-18T02:00:02.920952Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

359b2ea290e5ce2e33b573c27403de5e6a32e55ce40ab97a7d13bec6b9c96953

Aliases

arxiv: 1103.3445 · arxiv_version: 1103.3445v2 · doi: 10.48550/arxiv.1103.3445 · pith_short_12: GWNS5IUQ4XHC · pith_short_16: GWNS5IUQ4XHC4M5V · pith_short_8: GWNS5IUQ

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/GWNS5IUQ4XHC4M5VOPBHIA66LZ \
  | 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: 359b2ea290e5ce2e33b573c27403de5e6a32e55ce40ab97a7d13bec6b9c96953

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ae0c21b9d8219c89248cfacd509341bac1fe0f1defddbbbb3fcd31cbe33a21f",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-03-17T16:01:56Z",
    "title_canon_sha256": "33de150df74a15a4d96e04e6c139ed3377833e4c07c676be9407c6fc89cb5d91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.3445",
    "kind": "arxiv",
    "version": 2
  }
}