Pith Number

pith:WVPOKG3D

pith:2018:WVPOKG3D5OLD5CN66FNP4SRMCE

not attested not anchored not stored refs pending

Stochastic Persistence

Michel Benaim

arxiv:1806.08450 v3 · 2018-06-21 · 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{WVPOKG3D5OLD5CN66FNP4SRMCE}

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.

Cited by

2 papers in Pith

A General View on Double Limits in Differential Equations

Stochastic Extinction with Relaxed Boundedness Conditions

Receipt and verification

First computed	2026-07-05T07:04:39.760445Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b55ee51b63eb963e89bef15afe4a2c112ddd3c7797560f9c996bd7a0dc564e38

Aliases

arxiv: 1806.08450 · arxiv_version: 1806.08450v3 · doi: 10.48550/arxiv.1806.08450 · pith_short_12: WVPOKG3D5OLD · pith_short_16: WVPOKG3D5OLD5CN6 · pith_short_8: WVPOKG3D

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/WVPOKG3D5OLD5CN66FNP4SRMCE \
  | 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: b55ee51b63eb963e89bef15afe4a2c112ddd3c7797560f9c996bd7a0dc564e38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec893a437227f930fe360c1ea3956c0f684ef541a5d39802d5d9caa2faf6a3da",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-06-21T23:19:17Z",
    "title_canon_sha256": "b06ddc22c61bf42f61ef323f6b4840eb56c5d9664574d20f289bd39d066a2efa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.08450",
    "kind": "arxiv",
    "version": 3
  }
}