Pith Number

pith:RNLFXRW5

pith:2016:RNLFXRW5F6RNGXATI7SP474IRU

not attested not anchored not stored refs pending

Verlinde-type formulas for rational surfaces

Lothar G\"ottsche

arxiv:1609.07327 v1 · 2016-09-23 · 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{RNLFXRW5F6RNGXATI7SP474IRU}

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	2026-05-18T01:04:01.681829Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b565bc6dd2fa2d35c1347e4fe7f888d26e7f6cd3d55b55c27ee8ed525d7c3b3

Aliases

arxiv: 1609.07327 · arxiv_version: 1609.07327v1 · doi: 10.48550/arxiv.1609.07327 · pith_short_12: RNLFXRW5F6RN · pith_short_16: RNLFXRW5F6RNGXAT · pith_short_8: RNLFXRW5

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/RNLFXRW5F6RNGXATI7SP474IRU \
  | 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: 8b565bc6dd2fa2d35c1347e4fe7f888d26e7f6cd3d55b55c27ee8ed525d7c3b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d16b47fbbe460c32ec9ce12d249f6662f9651b0784534243caad72b6ad1089e2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-09-23T11:49:28Z",
    "title_canon_sha256": "f0c80b494a944b81d45f0497aeb7027e360c07d43e1f8b48e5140252c5e2712a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.07327",
    "kind": "arxiv",
    "version": 1
  }
}