Pith Number

pith:G25YDXJN

pith:2013:G25YDXJNCLJXWXHTY4H7JLGP2C

not attested not anchored not stored refs pending

Illumination complexes, {\Delta}-zonotopes, and the polyhedral curtain theorem

Rade T. \v{Z}ivaljevi\'c

arxiv:1307.5138 v1 · 2013-07-19 · math.MG · 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{G25YDXJNCLJXWXHTY4H7JLGP2C}

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	2026-05-18T03:18:05.584493Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36bb81dd2d12d37b5cf3c70ff4accfd087490a59b9a1d5bfb0dce5a57bb0a403

Aliases

arxiv: 1307.5138 · arxiv_version: 1307.5138v1 · doi: 10.48550/arxiv.1307.5138 · pith_short_12: G25YDXJNCLJX · pith_short_16: G25YDXJNCLJXWXHT · pith_short_8: G25YDXJN

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/G25YDXJNCLJXWXHTY4H7JLGP2C \
  | 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: 36bb81dd2d12d37b5cf3c70ff4accfd087490a59b9a1d5bfb0dce5a57bb0a403

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3bb5ef0fefcafe23f8b4777db54ee0418377b647350a165e41c230f75ba42032",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2013-07-19T06:39:05Z",
    "title_canon_sha256": "20952b5094cc2042102a3bbf46df06eb0d23ccb12aaabf53e950be034b590353"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.5138",
    "kind": "arxiv",
    "version": 1
  }
}