Pith Number

pith:YNZOA4QT

pith:1999:YNZOA4QTLXS323KH4H42B26GJU

not attested not anchored not stored refs pending

On the Cobordism Class of the Hilbert Scheme of a Surface

G. Ellingsrud, L. G\"ottsche, M. Lehn

arxiv:math/9904095 v1 · 1999-04-19 · 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{YNZOA4QTLXS323KH4H42B26GJU}

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

Virtual cycles of 3-term complexes and the Hilbert schemes of surfaces

Receipt and verification

First computed	2026-07-04T14:41:07.406959Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c372e072135de5bd6d47e1f9a0ebc64d0ea7a130f6a6342675e1c2afc50f0deb

Aliases

arxiv: math/9904095 · arxiv_version: math/9904095v1 · doi: 10.48550/arxiv.math/9904095 · pith_short_12: YNZOA4QTLXS3 · pith_short_16: YNZOA4QTLXS323KH · pith_short_8: YNZOA4QT

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/YNZOA4QTLXS323KH4H42B26GJU \
  | 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: c372e072135de5bd6d47e1f9a0ebc64d0ea7a130f6a6342675e1c2afc50f0deb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c91a97a0a71c95506384a7fcf67365f07665852ea893db6dbb6f9a695e93a634",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "1999-04-19T16:59:04Z",
    "title_canon_sha256": "47a44fe739eb96fe084f279defe9ea994c6c9fe3cdc2d2ba36832d3b3a528d28"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9904095",
    "kind": "arxiv",
    "version": 1
  }
}