Pith Number

pith:7G4SPIJR

pith:2010:7G4SPIJRWZOL2QI3VOQ2BJKIPD

not attested not anchored not stored refs pending

Mirror stability conditions and SYZ conjecture for Fermat polynomials

So Okada

arxiv:1010.5397 v1 · 2010-10-26 · math.AG · math.CT · math.RT · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7G4SPIJRWZOL2QI3VOQ2BJKIPD}

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	2026-05-18T04:38:38.845748Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9b927a131b65cbd411baba1a0a54878c5cac5b478d9b0750dec58f90c5e8661

Aliases

arxiv: 1010.5397 · arxiv_version: 1010.5397v1 · doi: 10.48550/arxiv.1010.5397 · pith_short_12: 7G4SPIJRWZOL · pith_short_16: 7G4SPIJRWZOL2QI3 · pith_short_8: 7G4SPIJR

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/7G4SPIJRWZOL2QI3VOQ2BJKIPD \
  | 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: f9b927a131b65cbd411baba1a0a54878c5cac5b478d9b0750dec58f90c5e8661

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f77c26505cdc4c645233c2ba1bc9f738ab2c2dd07ff2c711ce1751475b503a7",
    "cross_cats_sorted": [
      "math.CT",
      "math.RT",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-10-26T13:55:59Z",
    "title_canon_sha256": "2e062844b5438900de783910adce5c9c95835b0b9b07b5ed0ab5a01f2c017730"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.5397",
    "kind": "arxiv",
    "version": 1
  }
}