Pith Number

pith:GBTCAEBU

pith:2012:GBTCAEBUQLWQ3CMJBQ6BMJI34R

not attested not anchored not stored refs pending

Self-dual continuous processes

Michael Schmutz, Thorsten Rheinl\"ander

arxiv:1201.6516 v1 · 2012-01-31 · math.PR · q-fin.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GBTCAEBUQLWQ3CMJBQ6BMJI34R}

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	2026-05-18T04:03:31.289827Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

306620103482ed0d89890c3c16251be4584d16457a60563da209c231b7be8e45

Aliases

arxiv: 1201.6516 · arxiv_version: 1201.6516v1 · doi: 10.48550/arxiv.1201.6516 · pith_short_12: GBTCAEBUQLWQ · pith_short_16: GBTCAEBUQLWQ3CMJ · pith_short_8: GBTCAEBU

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/GBTCAEBUQLWQ3CMJBQ6BMJI34R \
  | 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: 306620103482ed0d89890c3c16251be4584d16457a60563da209c231b7be8e45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "607a3788a3af9b2e535494267dbee5567c8c1e30312f6e7155e194459a462212",
    "cross_cats_sorted": [
      "q-fin.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-01-31T11:55:57Z",
    "title_canon_sha256": "8c13d05466e4f599f81fd5cffbb2f55c1e184f8ef9bdb9404439e5a09907fde7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.6516",
    "kind": "arxiv",
    "version": 1
  }
}