Pith Number

pith:B4Z7A5QN

pith:2014:B4Z7A5QN36HW7AN7MADW3D6V2F

not attested not anchored not stored refs pending

Cones of Hilbert functions

Gregory G. Smith, Mats Boij

arxiv:1404.7341 v1 · 2014-04-29 · math.AC · 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{B4Z7A5QN36HW7AN7MADW3D6V2F}

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	2026-05-18T01:13:38.385615Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f33f0760ddf8f6f81bf60076d8fd5d16e45c6e08607bfc086fd623df11a614d

Aliases

arxiv: 1404.7341 · arxiv_version: 1404.7341v1 · doi: 10.48550/arxiv.1404.7341 · pith_short_12: B4Z7A5QN36HW · pith_short_16: B4Z7A5QN36HW7AN7 · pith_short_8: B4Z7A5QN

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/B4Z7A5QN36HW7AN7MADW3D6V2F \
  | 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: 0f33f0760ddf8f6f81bf60076d8fd5d16e45c6e08607bfc086fd623df11a614d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76c3fbe38349f0db2618ee421eb2eb12ca03226f742eac636517ceb0fbd60ef6",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2014-04-29T12:55:35Z",
    "title_canon_sha256": "875b8da007a779a8ec5a4a938c67d8d14db84a6a303ca7db5b4b78f93af23cfb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.7341",
    "kind": "arxiv",
    "version": 1
  }
}