Pith Number

pith:X3S7UUD7

pith:2013:X3S7UUD7AJT7F7Z3W6P52LWV2V

not attested not anchored not stored refs pending

Generic circuits sets and general initial ideals with respect to weights

Enrico Sbarra, Giulio Caviglia

arxiv:1309.5348 v1 · 2013-09-20 · 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{X3S7UUD7AJT7F7Z3W6P52LWV2V}

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	2026-05-18T03:12:46.992476Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bee5fa507f0267f2ff3bb79fdd2ed5d572a4e74f2ea5a67e73ffee6cb5885a97

Aliases

arxiv: 1309.5348 · arxiv_version: 1309.5348v1 · doi: 10.48550/arxiv.1309.5348 · pith_short_12: X3S7UUD7AJT7 · pith_short_16: X3S7UUD7AJT7F7Z3 · pith_short_8: X3S7UUD7

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/X3S7UUD7AJT7F7Z3W6P52LWV2V \
  | 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: bee5fa507f0267f2ff3bb79fdd2ed5d572a4e74f2ea5a67e73ffee6cb5885a97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93b367f07b1eb111c9d810538ef3f9e8e6b6381d8765d87407e571b9431b0fdd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-09-20T19:08:57Z",
    "title_canon_sha256": "4722f2c83b2daf48ece36549bf21cdc2b0e91daefa944d309c50903c2ef5c1ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.5348",
    "kind": "arxiv",
    "version": 1
  }
}