Pith Number

pith:5MMRIZZX

pith:2013:5MMRIZZXSYSHM252G3ZXNXQ3BV

not attested not anchored not stored refs pending

S-duality for surfaces with $A_n$-type singularities

Yukinobu Toda

arxiv:1312.2300 v2 · 2013-12-09 · 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{5MMRIZZXSYSHM252G3ZXNXQ3BV}

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	2026-05-18T03:04:08.051439Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb191467379624766bba36f376de1b0d7abbaf77ab2c4337ea3b00d356250d13

Aliases

arxiv: 1312.2300 · arxiv_version: 1312.2300v2 · doi: 10.48550/arxiv.1312.2300 · pith_short_12: 5MMRIZZXSYSH · pith_short_16: 5MMRIZZXSYSHM252 · pith_short_8: 5MMRIZZX

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/5MMRIZZXSYSHM252G3ZXNXQ3BV \
  | 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: eb191467379624766bba36f376de1b0d7abbaf77ab2c4337ea3b00d356250d13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fdfaa2bfe7377fd84ac39a25d9f8b51e6548448a2f7f8964eaeecabf3d24086",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-12-09T03:18:38Z",
    "title_canon_sha256": "2f5382e790efb239646ffd96ee62df52021997ad1812d9b75fd9511a34caa565"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.2300",
    "kind": "arxiv",
    "version": 2
  }
}