Pith Number

pith:3OYO2Z5K

pith:2009:3OYO2Z5KT3BTVSMJR7QDGUCTEW

not attested not anchored not stored refs pending

Markovian bridges: Weak continuity and pathwise constructions

Ger\'onimo Uribe Bravo, Lo\"ic Chaumont

arxiv:0905.2155 v3 · 2009-05-13 · 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{3OYO2Z5KT3BTVSMJR7QDGUCTEW}

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	2026-05-18T04:26:54.798220Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbb0ed67aa9ec33ac9898fe033505325b377fb6d273a14f51eb160cc582f9f2f

Aliases

arxiv: 0905.2155 · arxiv_version: 0905.2155v3 · doi: 10.48550/arxiv.0905.2155 · pith_short_12: 3OYO2Z5KT3BT · pith_short_16: 3OYO2Z5KT3BTVSMJ · pith_short_8: 3OYO2Z5K

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/3OYO2Z5KT3BTVSMJR7QDGUCTEW \
  | 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: dbb0ed67aa9ec33ac9898fe033505325b377fb6d273a14f51eb160cc582f9f2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6b2bacd11ce156a1f2b43faad09c0fb94e2db62989cf3979c5ef4c899b18673",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-05-13T17:36:49Z",
    "title_canon_sha256": "9f482f344684ffb4fae4afb6e64db2b7dc077393918b045f85f8e8e315aad5a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.2155",
    "kind": "arxiv",
    "version": 3
  }
}