Pith Number

pith:43T2OSFV

pith:2007:43T2OSFV75SEXW5UM742ST5J77

not attested not anchored not stored refs pending

Dam Rain and Cumulative Gain

Andrea Macrina, Dorje C. Brody, Lane P. Hughston

arxiv:0710.2775 v1 · 2007-10-15 · q-fin.PR · 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{43T2OSFV75SEXW5UM742ST5J77}

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	2026-05-18T03:35:02.660683Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6e7a748b5ff644bdbb467f9a94fa9ffd506aaf7e1fe19744699c7d90cc6138b

Aliases

arxiv: 0710.2775 · arxiv_version: 0710.2775v1 · doi: 10.48550/arxiv.0710.2775 · pith_short_12: 43T2OSFV75SE · pith_short_16: 43T2OSFV75SEXW5U · pith_short_8: 43T2OSFV

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/43T2OSFV75SEXW5UM742ST5J77 \
  | 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: e6e7a748b5ff644bdbb467f9a94fa9ffd506aaf7e1fe19744699c7d90cc6138b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29a7fdefa8fa85bb4ef44a19e31c03fb4dde3908d3e11e8c4689c3b96a193ba2",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "",
    "primary_cat": "q-fin.PR",
    "submitted_at": "2007-10-15T11:12:26Z",
    "title_canon_sha256": "e6067fc7d43eb5eeaae227948bb5d5024a127c7393d2a63e56f8c3c538a5f369"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.2775",
    "kind": "arxiv",
    "version": 1
  }
}