Pith Number

pith:5M3HRWZP

pith:2014:5M3HRWZPNJV7WHQHLNMSMQEV2O

not attested not anchored not stored refs pending

Tropicalization of facets of polytopes

Ricardo D. Katz, Xavier Allamigeon

arxiv:1408.6176 v2 · 2014-08-26 · 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{5M3HRWZPNJV7WHQHLNMSMQEV2O}

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	2026-05-18T01:23:50.896578Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb3678db2f6a6bfb1e075b59264095d3a6f3f83a9e19d8df29c2baff8db0ad33

Aliases

arxiv: 1408.6176 · arxiv_version: 1408.6176v2 · doi: 10.48550/arxiv.1408.6176 · pith_short_12: 5M3HRWZPNJV7 · pith_short_16: 5M3HRWZPNJV7WHQH · pith_short_8: 5M3HRWZP

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/5M3HRWZPNJV7WHQHLNMSMQEV2O \
  | 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: eb3678db2f6a6bfb1e075b59264095d3a6f3f83a9e19d8df29c2baff8db0ad33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2541f624b91a724bfd1dc53c4741a2ca70e877f76d344fffa8e458f330aab80d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-08-26T16:13:02Z",
    "title_canon_sha256": "24a39614ea92f8862bd28e6307475021c1869d25a16ad7c4685ec332f69f872e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.6176",
    "kind": "arxiv",
    "version": 2
  }
}