Pith Number

pith:2RGN3WHW

pith:2012:2RGN3WHWSLW2UAQ3EXDMAFPSMY

not attested not anchored not stored refs pending

Diffusions with rank-based characteristics and values in the nonnegative quadrant

Ioannis Karatzas, Tomoyuki Ichiba, Vilmos Prokaj

arxiv:1202.0036 v3 · 2012-01-31 · 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{2RGN3WHWSLW2UAQ3EXDMAFPSMY}

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	2026-05-18T03:00:59.356343Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d44cddd8f692edaa021b25c6c015f26616930c2f84603544eeb19cfb337d07b0

Aliases

arxiv: 1202.0036 · arxiv_version: 1202.0036v3 · doi: 10.48550/arxiv.1202.0036 · pith_short_12: 2RGN3WHWSLW2 · pith_short_16: 2RGN3WHWSLW2UAQ3 · pith_short_8: 2RGN3WHW

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/2RGN3WHWSLW2UAQ3EXDMAFPSMY \
  | 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: d44cddd8f692edaa021b25c6c015f26616930c2f84603544eeb19cfb337d07b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "225b83efe6facfedbc2f5f689dff14a29bd65c1227c7618e49cc891392837aa7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-01-31T21:42:45Z",
    "title_canon_sha256": "1ef4e08c314038258dc6d7190e48f401fca5bfc1710477a09cde956b2ccb57c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.0036",
    "kind": "arxiv",
    "version": 3
  }
}