Pith Number

pith:75OEM6VM

pith:2011:75OEM6VMM3CUKUQS6O7KRZSA52

not attested not anchored not stored refs pending

Supercritical branching diffusions in random environment

Martin Hutzenthaler

arxiv:1109.1849 v2 · 2011-09-08 · 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{75OEM6VMM3CUKUQS6O7KRZSA52}

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	2026-05-18T03:11:47.353786Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff5c467aac66c5455212f3bea8e640eebc43297b392ea4ead4cd7331fd5152b7

Aliases

arxiv: 1109.1849 · arxiv_version: 1109.1849v2 · doi: 10.48550/arxiv.1109.1849 · pith_short_12: 75OEM6VMM3CU · pith_short_16: 75OEM6VMM3CUKUQS · pith_short_8: 75OEM6VM

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/75OEM6VMM3CUKUQS6O7KRZSA52 \
  | 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: ff5c467aac66c5455212f3bea8e640eebc43297b392ea4ead4cd7331fd5152b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b157a938d1b09a5a3e1b624811bc82d2505bdee359e99ff13b57780f7fbb5c2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-09-08T21:27:38Z",
    "title_canon_sha256": "a7d30588004495c84a9ee23044ff016127bef500a174dce12ab511ed55cd9708"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1849",
    "kind": "arxiv",
    "version": 2
  }
}