Pith Number

pith:PKEM42EB

pith:2010:PKEM42EBVXCWBOZYJYO2YO6CUX

not attested not anchored not stored refs pending

Schubert complexes and degeneracy loci

Steven V Sam

arxiv:1006.5514 v2 · 2010-06-29 · math.AG · math.AC · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PKEM42EBVXCWBOZYJYO2YO6CUX}

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	2026-05-18T04:21:51.730750Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a88ce6881adc560bb384e1dac3bc2a5d243df8bde22d9a7b6a0522c7a173536

Aliases

arxiv: 1006.5514 · arxiv_version: 1006.5514v2 · doi: 10.48550/arxiv.1006.5514 · pith_short_12: PKEM42EBVXCW · pith_short_16: PKEM42EBVXCWBOZY · pith_short_8: PKEM42EB

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/PKEM42EBVXCWBOZYJYO2YO6CUX \
  | 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: 7a88ce6881adc560bb384e1dac3bc2a5d243df8bde22d9a7b6a0522c7a173536

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ac9b5541589b63831000c376cb0cea883f758d5106dd714ac457235173251a0",
    "cross_cats_sorted": [
      "math.AC",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-06-29T07:14:20Z",
    "title_canon_sha256": "57a7a29dca73afad4ea90eccb286109a5f5be8f4d13f4e5d360580c2b7eea10c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.5514",
    "kind": "arxiv",
    "version": 2
  }
}