Pith Number

pith:2TPZLGK4

pith:2016:2TPZLGK4PTEGLMDFAMMNPON4FX

not attested not anchored not stored refs pending

Pinning of a renewal on a quenched renewal

Kenneth S. Alexander, Quentin Berger

arxiv:1608.03265 v2 · 2016-08-10 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2TPZLGK4PTEGLMDFAMMNPON4FX}

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	2026-05-18T00:45:30.409844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4df95995c7cc865b0650318d7b9bc2deef63d53b99580d6fc8f71808fff8bda

Aliases

arxiv: 1608.03265 · arxiv_version: 1608.03265v2 · doi: 10.48550/arxiv.1608.03265 · pith_short_12: 2TPZLGK4PTEG · pith_short_16: 2TPZLGK4PTEGLMDF · pith_short_8: 2TPZLGK4

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/2TPZLGK4PTEGLMDFAMMNPON4FX \
  | 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: d4df95995c7cc865b0650318d7b9bc2deef63d53b99580d6fc8f71808fff8bda

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b359a74f86e838613fdc29193ad0b8681e672d932668fd7eab8d6ad7f8d4880",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-08-10T19:42:03Z",
    "title_canon_sha256": "64a1d0853788d4e14c324613a5246ace214ae342ec63365ed624c3ef53f6fe4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.03265",
    "kind": "arxiv",
    "version": 2
  }
}