Pith Number

pith:P7T2RVZP

pith:2015:P7T2RVZPLGRWKEKXG6MGHED22T

not attested not anchored not stored refs pending

Consensus Driven by the Geometric Mean

Dong Xue, Herbert Mangesius, Sandra Hirche

arxiv:1511.02604 v2 · 2015-11-09 · math.DS · 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{P7T2RVZPLGRWKEKXG6MGHED22T}

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	2026-05-18T01:09:45.775183Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fe7a8d72f59a3651157379863907ad4e50e7e262b737781309ce817b9118473

Aliases

arxiv: 1511.02604 · arxiv_version: 1511.02604v2 · doi: 10.48550/arxiv.1511.02604 · pith_short_12: P7T2RVZPLGRW · pith_short_16: P7T2RVZPLGRWKEKX · pith_short_8: P7T2RVZP

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/P7T2RVZPLGRWKEKXG6MGHED22T \
  | 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: 7fe7a8d72f59a3651157379863907ad4e50e7e262b737781309ce817b9118473

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03eba8e6a3c22b1a4fa4aa88e0fbd52f93936d6deec61a398464a7fe6d1f0c24",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-11-09T09:15:08Z",
    "title_canon_sha256": "8787124449ff5c674dc8c623f3eda679c7783ef1b2805ac8016d21980b6611d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.02604",
    "kind": "arxiv",
    "version": 2
  }
}