Pith Number

pith:Z4OSTTKQ

pith:2017:Z4OSTTKQNU24ECEPO5TFWMWM6C

not attested not anchored not stored refs pending

Strange duality on rational surfaces II: higher rank cases

Yao Yuan

arxiv:1703.06665 v2 · 2017-03-20 · 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{Z4OSTTKQNU24ECEPO5TFWMWM6C}

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	2026-05-18T00:48:14.030562Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf1d29cd506d35c2088f77665b32ccf08bd803b22194b79ce569e6bdc59a1a90

Aliases

arxiv: 1703.06665 · arxiv_version: 1703.06665v2 · doi: 10.48550/arxiv.1703.06665 · pith_short_12: Z4OSTTKQNU24 · pith_short_16: Z4OSTTKQNU24ECEP · pith_short_8: Z4OSTTKQ

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/Z4OSTTKQNU24ECEPO5TFWMWM6C \
  | 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: cf1d29cd506d35c2088f77665b32ccf08bd803b22194b79ce569e6bdc59a1a90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36e9c348a0a88ad0749fad5093a053b3ea428636b6e1b12a3e0636980ecd599e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-03-20T10:49:50Z",
    "title_canon_sha256": "1114b10694759bd64d26b6fc11be333db5022e05c625c98387353754a8eb2521"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.06665",
    "kind": "arxiv",
    "version": 2
  }
}