Pith Number

pith:HQBFTMYJ

pith:2015:HQBFTMYJLW7462UQR4YVG3YNUF

not attested not anchored not stored refs pending

Mirror symmetry: from categories to curve counts

Nick Sheridan, Sheel Ganatra, Timothy Perutz

arxiv:1510.03839 v2 · 2015-10-13 · 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{HQBFTMYJLW7462UQR4YVG3YNUF}

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.

Cited by

1 paper in Pith

Open-closed Deligne-Mumford field theories: construction

Receipt and verification

First computed	2026-05-18T01:30:07.638248Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c0259b3095dbfcf6a908f31536f0da158ec091cca3bb719fe4192056526a142

Aliases

arxiv: 1510.03839 · arxiv_version: 1510.03839v2 · doi: 10.48550/arxiv.1510.03839 · pith_short_12: HQBFTMYJLW74 · pith_short_16: HQBFTMYJLW7462UQ · pith_short_8: HQBFTMYJ

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/HQBFTMYJLW7462UQR4YVG3YNUF \
  | 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: 3c0259b3095dbfcf6a908f31536f0da158ec091cca3bb719fe4192056526a142

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "faecaa64bfe345899dd7da9a3115abe99f7880d64645fc882e170276b9685a5a",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2015-10-13T19:52:51Z",
    "title_canon_sha256": "62da4700ac0c130c92318c15c25433707ab5ae36ff33043d012209ffba19c5df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.03839",
    "kind": "arxiv",
    "version": 2
  }
}