Pith Number

pith:BFVS5AUI

pith:2017:BFVS5AUIGYF6ZJ3RGIJHFEFE64

not attested not anchored not stored refs pending

Waldschmidt constants for Stanley-Reisner ideals of a class of graphs

Justyna Szpond, Tomasz Szemberg

arxiv:1704.05889 v1 · 2017-04-19 · 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{BFVS5AUIGYF6ZJ3RGIJHFEFE64}

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	2026-05-18T00:46:03.841913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

096b2e8288360beca77132127290a4f725657ab6442a63f4459e962762a56be7

Aliases

arxiv: 1704.05889 · arxiv_version: 1704.05889v1 · doi: 10.48550/arxiv.1704.05889 · pith_short_12: BFVS5AUIGYF6 · pith_short_16: BFVS5AUIGYF6ZJ3R · pith_short_8: BFVS5AUI

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/BFVS5AUIGYF6ZJ3RGIJHFEFE64 \
  | 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: 096b2e8288360beca77132127290a4f725657ab6442a63f4459e962762a56be7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "738603e2c9e9038e7fa776579a382a4e79f80023550e3e93e1fcdec0b15a1992",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-04-19T18:34:46Z",
    "title_canon_sha256": "ae5ffe41d4ea70e984ac30a2b1d062450f1dee58b68809232f11b28ccc5c201e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.05889",
    "kind": "arxiv",
    "version": 1
  }
}