Pith Number

pith:D5NZKLKM

pith:2015:D5NZKLKM3EQYMTSYULXYDXT5W6

not attested not anchored not stored refs pending

Volume and lattice points counting for the cyclopermutohedron

Gaiane Panina, Ilya Nekrasov

arxiv:1505.00352 v1 · 2015-05-02 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D5NZKLKM3EQYMTSYULXYDXT5W6}

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	2026-05-18T02:17:10.399076Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f5b952d4cd921864e58a2ef81de7db79a18c81e6e1e71d503915e31fbd0ad91

Aliases

arxiv: 1505.00352 · arxiv_version: 1505.00352v1 · doi: 10.48550/arxiv.1505.00352 · pith_short_12: D5NZKLKM3EQY · pith_short_16: D5NZKLKM3EQYMTSY · pith_short_8: D5NZKLKM

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/D5NZKLKM3EQYMTSYULXYDXT5W6 \
  | 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: 1f5b952d4cd921864e58a2ef81de7db79a18c81e6e1e71d503915e31fbd0ad91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "edda44d116ec6502863aab23cf1e3b88b8e2896d279514cde3273dc0115661fc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2015-05-02T16:37:40Z",
    "title_canon_sha256": "789e4a0af01aaa4649525f29e45b190d1ee0ef19e37172475e3112c97653f703"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.00352",
    "kind": "arxiv",
    "version": 1
  }
}