Pith Number

pith:N4QJQVDP

pith:2017:N4QJQVDPTQJVEBPGZWDVKFARJE

not attested not anchored not stored refs pending

The excess degree of a polytope

David Yost, Guillermo Pineda-Villavicencio, Julien Ugon

arxiv:1703.10702 v3 · 2017-03-30 · 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{N4QJQVDPTQJVEBPGZWDVKFARJE}

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	2026-05-18T00:23:16.987613Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f2098546f9c135205e6cd87551411493aa19558af00a0c9efe3fe16b0b7ff7f

Aliases

arxiv: 1703.10702 · arxiv_version: 1703.10702v3 · doi: 10.48550/arxiv.1703.10702 · pith_short_12: N4QJQVDPTQJV · pith_short_16: N4QJQVDPTQJVEBPG · pith_short_8: N4QJQVDP

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/N4QJQVDPTQJVEBPGZWDVKFARJE \
  | 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: 6f2098546f9c135205e6cd87551411493aa19558af00a0c9efe3fe16b0b7ff7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d77b20a710ee42cb5162d3ea771df935cc715e7939d413dd4720cffaf65a1db0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-03-30T22:40:46Z",
    "title_canon_sha256": "feb02b09040cccc38e7c89dd0bd98b2d637234ad87814f9c94487693ec0cc40d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.10702",
    "kind": "arxiv",
    "version": 3
  }
}