Pith Number

pith:VCT7K3A6

pith:2012:VCT7K3A6DJZV5GCZDZPJW2G3CG

not attested not anchored not stored refs pending

Heat Trace of non-local operators

Rodrigo Ba\~nuelos, Selma Y{\i}ld{\i}r{\i}m Yolcu

arxiv:1201.2171 v1 · 2012-01-10 · math.SP · 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{VCT7K3A6DJZV5GCZDZPJW2G3CG}

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	2026-05-18T02:57:53.900082Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8a7f56c1e1a735e98591e5e9b68db11bf32bb491bcf934bd7eacb21c1469655

Aliases

arxiv: 1201.2171 · arxiv_version: 1201.2171v1 · doi: 10.48550/arxiv.1201.2171 · pith_short_12: VCT7K3A6DJZV · pith_short_16: VCT7K3A6DJZV5GCZ · pith_short_8: VCT7K3A6

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/VCT7K3A6DJZV5GCZDZPJW2G3CG \
  | 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: a8a7f56c1e1a735e98591e5e9b68db11bf32bb491bcf934bd7eacb21c1469655

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1337deb234fd6a27c007deb2b02ecf480267b80fee043038eeb4c3d2d9d4834e",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2012-01-10T20:55:22Z",
    "title_canon_sha256": "5cfca130221f9d23bc9c375134fc419325f3244d08f4ff425b0ea3e94d4a8216"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.2171",
    "kind": "arxiv",
    "version": 1
  }
}