Pith Number

pith:ARCVJ4Z3

pith:2016:ARCVJ4Z3FSMZM7AUA42AGBGP6G

not attested not anchored not stored refs pending

Counting faces of graphical zonotopes

Vladimir Gruji\'c

arxiv:1604.06931 v2 · 2016-04-23 · 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{ARCVJ4Z3FSMZM7AUA42AGBGP6G}

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	2026-05-18T00:47:59.060765Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

044554f33b2c99967c1407340304cff1a97f3fbf7c90c91f0f2312e5858108be

Aliases

arxiv: 1604.06931 · arxiv_version: 1604.06931v2 · doi: 10.48550/arxiv.1604.06931 · pith_short_12: ARCVJ4Z3FSMZ · pith_short_16: ARCVJ4Z3FSMZM7AU · pith_short_8: ARCVJ4Z3

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/ARCVJ4Z3FSMZM7AUA42AGBGP6G \
  | 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: 044554f33b2c99967c1407340304cff1a97f3fbf7c90c91f0f2312e5858108be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbb20d08bb6500cc3450bbca95bb6dbfd431974bb1dc305c61d220ddf7b86929",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-04-23T18:11:32Z",
    "title_canon_sha256": "e093be0c19ad63606766fd6b67e7732c697ebbf20517ae9613e7cefd1557f8bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.06931",
    "kind": "arxiv",
    "version": 2
  }
}