Pith Number

pith:VQ4ALQXD

pith:2011:VQ4ALQXD3Y3DVS3MQVDS357223

not attested not anchored not stored refs pending

The T-graph of a multigraded Hilbert scheme

Diane Maclagan, Milena Hering

arxiv:1110.1861 v1 · 2011-10-09 · 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{VQ4ALQXD3Y3DVS3MQVDS357223}

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	2026-05-18T04:11:19.496426Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac3805c2e3de363acb6c85472df7fad6cc1098a5930d1a379d15ad777a41f0e0

Aliases

arxiv: 1110.1861 · arxiv_version: 1110.1861v1 · doi: 10.48550/arxiv.1110.1861 · pith_short_12: VQ4ALQXD3Y3D · pith_short_16: VQ4ALQXD3Y3DVS3M · pith_short_8: VQ4ALQXD

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/VQ4ALQXD3Y3DVS3MQVDS357223 \
  | 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: ac3805c2e3de363acb6c85472df7fad6cc1098a5930d1a379d15ad777a41f0e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0108f3ae388347cf7464699c06e45cc844ea907681628463a42e696d0d29030",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-10-09T17:28:45Z",
    "title_canon_sha256": "b010924e03dc4ced56bd7ff9259f17e54253c63663636c1697410d7a4d7ab36e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.1861",
    "kind": "arxiv",
    "version": 1
  }
}