Pith Number

pith:CIUWUATD

pith:2011:CIUWUATD2RMO7IDOVXRAWQQSKX

not attested not anchored not stored refs pending

Homological mirror symmetry for the quintic 3-fold

Kazushi Ueda, Yuichi Nohara

arxiv:1103.4956 v2 · 2011-03-25 · 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{CIUWUATD2RMO7IDOVXRAWQQSKX}

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	2026-05-18T02:38:18.221305Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12296a0263d458efa06eade20b421255c62116b6dbd6f49995f29064f215680a

Aliases

arxiv: 1103.4956 · arxiv_version: 1103.4956v2 · doi: 10.48550/arxiv.1103.4956 · pith_short_12: CIUWUATD2RMO · pith_short_16: CIUWUATD2RMO7IDO · pith_short_8: CIUWUATD

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/CIUWUATD2RMO7IDOVXRAWQQSKX \
  | 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: 12296a0263d458efa06eade20b421255c62116b6dbd6f49995f29064f215680a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e45c65947211aaf4fc933bccbae7e0358bf0a56cbfa339bf740c0a8e38e77337",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2011-03-25T12:17:23Z",
    "title_canon_sha256": "c7169678a7f65c87b7030d310d7132f02773a1cd0797334efcde9a57a51b4222"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.4956",
    "kind": "arxiv",
    "version": 2
  }
}