Pith Number

pith:NF74KB53

pith:2011:NF74KB53YLXIY2UUKUCRE74YHG

not attested not anchored not stored refs pending

Extensors and the Hilbert scheme

Bernard Mourrain, Jerome Brachat, Margherita Roggero, Paolo Lella

arxiv:1104.2007 v4 · 2011-04-11 · 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{NF74KB53YLXIY2UUKUCRE74YHG}

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	2026-05-18T02:40:02.443036Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

697fc507bbc2ee8c6a945505127f9839aed53b3fc83d04720508b4240bb6740a

Aliases

arxiv: 1104.2007 · arxiv_version: 1104.2007v4 · doi: 10.48550/arxiv.1104.2007 · pith_short_12: NF74KB53YLXI · pith_short_16: NF74KB53YLXIY2UU · pith_short_8: NF74KB53

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/NF74KB53YLXIY2UUKUCRE74YHG \
  | 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: 697fc507bbc2ee8c6a945505127f9839aed53b3fc83d04720508b4240bb6740a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2afecd9ae3a8ae35e4875eb4c708b44fcdc8e0c8e6ede22b28901a75af9c186b",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-04-11T17:16:13Z",
    "title_canon_sha256": "687e32a957b8533b8cea3f210dce6d39f0ba1acc282523fed2a159f773329ce2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.2007",
    "kind": "arxiv",
    "version": 4
  }
}