Pith Number

pith:ZH3PYNLZ

pith:2013:ZH3PYNLZR54NNHIPVZ432AEMAY

not attested not anchored not stored refs pending

The Projected Faces Property and Polyhedral Relations

Kanstantsin Pashkovich, Michele Conforti

arxiv:1305.3782 v2 · 2013-05-16 · 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{ZH3PYNLZR54NNHIPVZ432AEMAY}

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	2026-05-18T02:40:45.776360Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9f6fc35798f78d69d0fae79bd008c06363bc4c89e5708e1d6682f342e4275c4

Aliases

arxiv: 1305.3782 · arxiv_version: 1305.3782v2 · doi: 10.48550/arxiv.1305.3782 · pith_short_12: ZH3PYNLZR54N · pith_short_16: ZH3PYNLZR54NNHIP · pith_short_8: ZH3PYNLZ

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/ZH3PYNLZR54NNHIPVZ432AEMAY \
  | 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: c9f6fc35798f78d69d0fae79bd008c06363bc4c89e5708e1d6682f342e4275c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70ca372e344bf1ffa964d06e4eae4c510796f019a058cba497b204c205d45a8a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-05-16T12:41:12Z",
    "title_canon_sha256": "0ea0d89933ce8eacccc1bb8372e7812d18c169b1581d22e553dec2e0d2b9ae7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.3782",
    "kind": "arxiv",
    "version": 2
  }
}