Pith Number

pith:APP6NQQ2

pith:2012:APP6NQQ2SGCSLY7K3XTUIIIOMO

not attested not anchored not stored refs pending

Subsignatures of systems

Jean-Luc Marichal

arxiv:1211.4999 v2 · 2012-11-21 · math.PR · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{APP6NQQ2SGCSLY7K3XTUIIIOMO}

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	2026-05-18T03:06:13.636038Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03dfe6c21a918525e3eadde744210e639a6df1e53bbf90f282b8ff1f70bac197

Aliases

arxiv: 1211.4999 · arxiv_version: 1211.4999v2 · doi: 10.48550/arxiv.1211.4999 · pith_short_12: APP6NQQ2SGCS · pith_short_16: APP6NQQ2SGCSLY7K · pith_short_8: APP6NQQ2

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/APP6NQQ2SGCSLY7K3XTUIIIOMO \
  | 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: 03dfe6c21a918525e3eadde744210e639a6df1e53bbf90f282b8ff1f70bac197

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a0776c790dc017d97e76d042b4ce40d84e71ee91b2e1b9181045913aae5b15e",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-11-21T11:06:52Z",
    "title_canon_sha256": "f6d53d2482411f6636a9297130b805e13d4019db972db773a721e5cbe5544922"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4999",
    "kind": "arxiv",
    "version": 2
  }
}