Pith Number

pith:736MSE3S

pith:2016:736MSE3SK77KIICHKH5YM62ZV3

not attested not anchored not stored refs pending

Strange duality on rational surfaces

Yao Yuan

arxiv:1604.05509 v1 · 2016-04-19 · 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{736MSE3SK77KIICHKH5YM62ZV3}

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	2026-05-18T01:16:38.577660Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fefcc9137257fea4204751fb867b59aee6fd3579656373b96ad63fb9338a98fc

Aliases

arxiv: 1604.05509 · arxiv_version: 1604.05509v1 · doi: 10.48550/arxiv.1604.05509 · pith_short_12: 736MSE3SK77K · pith_short_16: 736MSE3SK77KIICH · pith_short_8: 736MSE3S

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/736MSE3SK77KIICHKH5YM62ZV3 \
  | 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: fefcc9137257fea4204751fb867b59aee6fd3579656373b96ad63fb9338a98fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bba0be2594e656eaacfdc62e0cd0a0de82954b1b0ce6b9c3fd23928d4c51cc73",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-04-19T10:38:38Z",
    "title_canon_sha256": "bcf1a4b0619e47ca1c4d9f99c9bc3581fad1cf6e4e454cbb917f1ae2a501962b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.05509",
    "kind": "arxiv",
    "version": 1
  }
}