Pith Number

pith:Z7DD54HV

pith:2012:Z7DD54HVKIM6PIZEQOYSBWTFAC

not attested not anchored not stored refs pending

On occult period maps

Michael Rapoport, Stephen Kudla

arxiv:1203.1272 v2 · 2012-03-06 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z7DD54HVKIM6PIZEQOYSBWTFAC}

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	2026-05-18T03:03:32.810519Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfc63ef0f55219e7a32483b120da6500b5b7c536643130548bf1d872682646ce

Aliases

arxiv: 1203.1272 · arxiv_version: 1203.1272v2 · doi: 10.48550/arxiv.1203.1272 · pith_short_12: Z7DD54HVKIM6 · pith_short_16: Z7DD54HVKIM6PIZE · pith_short_8: Z7DD54HV

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/Z7DD54HVKIM6PIZEQOYSBWTFAC \
  | 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: cfc63ef0f55219e7a32483b120da6500b5b7c536643130548bf1d872682646ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4356a4537d9cc76d64a3538443abe02963a8557408c2814fa6f66ff50906571",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-03-06T18:25:30Z",
    "title_canon_sha256": "657b2a72e3bdca5cd2213e2d55244ed28e01a91dbf1349a5f00f13458c028611"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.1272",
    "kind": "arxiv",
    "version": 2
  }
}