Pith Number

pith:X45CG2PV

pith:2009:X45CG2PVSOFNOGQWHYKTTNBCES

not attested not anchored not stored refs pending

Hybrid Atlas models

Adrian Banner, Ioannis Karatzas, Robert Fernholz, Tomoyuki Ichiba, Vassilios Papathanakos

arxiv:0909.0065 v2 · 2009-09-01 · math.PR · q-fin.CP · q-fin.PM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X45CG2PVSOFNOGQWHYKTTNBCES}

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	2026-05-18T04:25:01.913743Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf3a2369f5938ad71a163e1539b42224bb225d5b6f7331171c55b1e08cf2ab3a

Aliases

arxiv: 0909.0065 · arxiv_version: 0909.0065v2 · doi: 10.48550/arxiv.0909.0065 · pith_short_12: X45CG2PVSOFN · pith_short_16: X45CG2PVSOFNOGQW · pith_short_8: X45CG2PV

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/X45CG2PVSOFNOGQWHYKTTNBCES \
  | 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: bf3a2369f5938ad71a163e1539b42224bb225d5b6f7331171c55b1e08cf2ab3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42d94fb5d5f4f9fc5b97aa48ca402eda55912f6af5e662d55d0d5df530d50f26",
    "cross_cats_sorted": [
      "q-fin.CP",
      "q-fin.PM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-09-01T01:14:53Z",
    "title_canon_sha256": "e08c53687f0dc4d2f3a2a8ba94ad424e9b6989a1619a8fe421a4ea10e6cb334f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.0065",
    "kind": "arxiv",
    "version": 2
  }
}