Pith Number

pith:X2NMTIRN

pith:2000:X2NMTIRNM7BLPZQGHXBRZD3AQJ

not attested not anchored not stored refs pending

Detecting flat normal cones using Segre classes

G. Kennedy, S. J. Colley

arxiv:math/0010067 v2 · 2000-10-06 · math.AG · math.AC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X2NMTIRNM7BLPZQGHXBRZD3AQJ}

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	2026-07-04T14:34:51.251614Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be9ac9a22d67c2b7e6063dc31c8f60826de3e91775097f19f03733cacebed5d7

Aliases

arxiv: math/0010067 · arxiv_version: math/0010067v2 · doi: 10.48550/arxiv.math/0010067 · pith_short_12: X2NMTIRNM7BL · pith_short_16: X2NMTIRNM7BLPZQG · pith_short_8: X2NMTIRN

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/X2NMTIRNM7BLPZQGHXBRZD3AQJ \
  | 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: be9ac9a22d67c2b7e6063dc31c8f60826de3e91775097f19f03733cacebed5d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd9c7a7fd866f6a69530bcb8904b7ebcba317e28c9dcba1cbff3db002bb43460",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2000-10-06T22:40:02Z",
    "title_canon_sha256": "11d9cd99bd439ff2dc699e038c9de758e346bb450b8f3b1236efaa5abb27c2a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0010067",
    "kind": "arxiv",
    "version": 2
  }
}