Pith Number

pith:ANTCNRXW

pith:2025:ANTCNRXW52I7BNNYLJ67TBQJMI

not attested not anchored not stored refs pending

The number of edges of a symmetric edge polytope

Giulia Codenotti, Lorenzo Venturello, Roberto Riccardi

arxiv:2512.16572 v2 · 2025-12-18 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ANTCNRXW52I7BNNYLJ67TBQJMI}

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.

Cited by

1 paper in Pith

Symmetric edge polytopes are not gamma-positive

Receipt and verification

First computed	2026-07-07T02:19:43.800064Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

036626c6f6ee91f0b5b85a7df9860962379c1732bf79d76a4e106e15351cb32b

Aliases

arxiv: 2512.16572 · arxiv_version: 2512.16572v2 · doi: 10.48550/arxiv.2512.16572 · pith_short_12: ANTCNRXW52I7 · pith_short_16: ANTCNRXW52I7BNNY · pith_short_8: ANTCNRXW

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/ANTCNRXW52I7BNNYLJ67TBQJMI \
  | 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: 036626c6f6ee91f0b5b85a7df9860962379c1732bf79d76a4e106e15351cb32b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "834a1403eabed3d677a5338f38279a9bc10fcd3abaaf2d74f19b96c47b20ee72",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-12-18T14:12:49Z",
    "title_canon_sha256": "825f3e1c6c0c93db91ed141efe07545ee3f641498e8701fe315edbf4cf28bb0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.16572",
    "kind": "arxiv",
    "version": 2
  }
}