Pith Number

pith:HBP4PCXK

pith:2011:HBP4PCXKPWV54FNNIYKCQCMCB2

not attested not anchored not stored refs pending

Interest Rates and Information Geometry

Dorje C. Brody, Lane P. Hughston

arxiv:1111.3757 v1 · 2011-11-16 · q-fin.GN · 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{HBP4PCXKPWV54FNNIYKCQCMCB2}

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	2026-05-18T01:59:32.481822Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

385fc78aea7dabde15ad46142809820e824eb3404b7d48ba85c6e56c33b7f8bc

Aliases

arxiv: 1111.3757 · arxiv_version: 1111.3757v1 · doi: 10.48550/arxiv.1111.3757 · pith_short_12: HBP4PCXKPWV5 · pith_short_16: HBP4PCXKPWV54FNN · pith_short_8: HBP4PCXK

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/HBP4PCXKPWV54FNNIYKCQCMCB2 \
  | 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: 385fc78aea7dabde15ad46142809820e824eb3404b7d48ba85c6e56c33b7f8bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "001a205abfc89031a8e7ca9ce75e06fed715052833bbf840e95a3b9d4df7079d",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.GN",
    "submitted_at": "2011-11-16T10:42:58Z",
    "title_canon_sha256": "54caad89d2d0406ca98e2f768387a044a48f6d21be9e164d961b8fcc5b47d72b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.3757",
    "kind": "arxiv",
    "version": 1
  }
}