Pith Number

pith:24II6R4Z

pith:2012:24II6R4ZDNN6FTR57IQVPYTQML

not attested not anchored not stored refs pending

Compactifying Spec Z

Satoshi Takagi

arxiv:1203.4914 v2 · 2012-03-22 · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{24II6R4ZDNN6FTR57IQVPYTQML}

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	2026-05-18T03:59:26.882812Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7108f47991b5be2ce3dfa2157e27062fd28541b1f6d35f2cc2ab42b9a7f28b0

Aliases

arxiv: 1203.4914 · arxiv_version: 1203.4914v2 · doi: 10.48550/arxiv.1203.4914 · pith_short_12: 24II6R4ZDNN6 · pith_short_16: 24II6R4ZDNN6FTR5 · pith_short_8: 24II6R4Z

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/24II6R4ZDNN6FTR57IQVPYTQML \
  | 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: d7108f47991b5be2ce3dfa2157e27062fd28541b1f6d35f2cc2ab42b9a7f28b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2849be7006bfb426ee4df79894fcd49127152ef290b10e540e1090235ae0291",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-03-22T08:43:51Z",
    "title_canon_sha256": "237efb1f6a828d009143f325a5c9cf0d33482742718136fefb513f77b01bcaeb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.4914",
    "kind": "arxiv",
    "version": 2
  }
}