Pith Number

pith:FY23DBK2

pith:2012:FY23DBK2XFIHSIVYYM7QGKXLGY

not attested not anchored not stored refs pending

The structure theory of set addition revisited

Tom Sanders

arxiv:1212.0458 v1 · 2012-12-03 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FY23DBK2XFIHSIVYYM7QGKXLGY}

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	2026-05-18T03:39:17.433235Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e35b1855ab9507922b8c33f032aeb361d6ade2863eb4128b418f1b44d7f67ab

Aliases

arxiv: 1212.0458 · arxiv_version: 1212.0458v1 · doi: 10.48550/arxiv.1212.0458 · pith_short_12: FY23DBK2XFIH · pith_short_16: FY23DBK2XFIHSIVY · pith_short_8: FY23DBK2

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/FY23DBK2XFIHSIVYYM7QGKXLGY \
  | 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: 2e35b1855ab9507922b8c33f032aeb361d6ade2863eb4128b418f1b44d7f67ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d1d65e2b6d2d2f15d1013e3eda3d7311021050eeb7edeb328646b6589d23655",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-12-03T17:33:50Z",
    "title_canon_sha256": "fea9ea18120ea73d974e952ef7952088955018f14c48b82569ff5ae8d4170a83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0458",
    "kind": "arxiv",
    "version": 1
  }
}