Pith Number

pith:YWQXXY56

pith:2003:YWQXXY56BOW5SZ6BTC6FZKGCYB

not attested not anchored not stored refs pending

Homological mirror symmetry for the quartic surface

Paul Seidel

arxiv:math/0310414 v4 · 2003-10-26 · math.SG · 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{YWQXXY56BOW5SZ6BTC6FZKGCYB}

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	2026-05-18T03:16:30.523477Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5a17be3be0badd967c198bc5ca8c2c051d249e4622cecce5ba473a125e0cead

Aliases

arxiv: math/0310414 · arxiv_version: math/0310414v4 · doi: 10.48550/arxiv.math/0310414 · pith_short_12: YWQXXY56BOW5 · pith_short_16: YWQXXY56BOW5SZ6B · pith_short_8: YWQXXY56

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/YWQXXY56BOW5SZ6BTC6FZKGCYB \
  | 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: c5a17be3be0badd967c198bc5ca8c2c051d249e4622cecce5ba473a125e0cead

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9aa74d90790e6ae35c1e135c5469baa4ae4d8c26aac68cb50922c199c6f0047",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2003-10-26T18:14:44Z",
    "title_canon_sha256": "88dd84d0cc901a67584bd08bd6b942d97a940c348a41f79da3ea722a7b811b60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0310414",
    "kind": "arxiv",
    "version": 4
  }
}