Pith Number

pith:XWH5T53D

pith:2011:XWH5T53DRILZ5M25FZE6E5SMW4

not attested not anchored not stored refs pending

Contractibility of manifolds by means of stochastic flows

Alexandra Antoniouk, Sergiy Maksymenko

arxiv:1111.0070 v3 · 2011-10-31 · math.PR · math.AT · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XWH5T53DRILZ5M25FZE6E5SMW4}

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	2026-05-18T00:53:03.161828Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd8fd9f7638a179eb35d2e49e2764cb703bf6d6e0424dcdb537a2c633c8a1f0a

Aliases

arxiv: 1111.0070 · arxiv_version: 1111.0070v3 · doi: 10.48550/arxiv.1111.0070 · pith_short_12: XWH5T53DRILZ · pith_short_16: XWH5T53DRILZ5M25 · pith_short_8: XWH5T53D

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/XWH5T53DRILZ5M25FZE6E5SMW4 \
  | 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: bd8fd9f7638a179eb35d2e49e2764cb703bf6d6e0424dcdb537a2c633c8a1f0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "945eb10f7900a09b61b363d9269ea9cabf4faa7478f77ce8cacf097589d9fab1",
    "cross_cats_sorted": [
      "math.AT",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-10-31T22:44:34Z",
    "title_canon_sha256": "c3ac5568d1725480ca10f37e52ce25eb53e5f1786aee5b33dc8c034a94eeb2a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.0070",
    "kind": "arxiv",
    "version": 3
  }
}