Pith Number

pith:RUDZ22JK

pith:2012:RUDZ22JK7A7X4IF6RIUPPVWMB3

not attested not anchored not stored refs pending

Six combinatorial clases of maximal convex tropical polyhedra

A. Jim\'enez, M. J. de la Puente

arxiv:1205.4162 v2 · 2012-05-18 · 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{RUDZ22JK7A7X4IF6RIUPPVWMB3}

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	2026-05-18T03:41:56.245512Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d079d692af83f7e20be8a28f7d6cc0efaaf2178f66f2c2a25d2335511fd83f8

Aliases

arxiv: 1205.4162 · arxiv_version: 1205.4162v2 · doi: 10.48550/arxiv.1205.4162 · pith_short_12: RUDZ22JK7A7X · pith_short_16: RUDZ22JK7A7X4IF6 · pith_short_8: RUDZ22JK

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/RUDZ22JK7A7X4IF6RIUPPVWMB3 \
  | 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: 8d079d692af83f7e20be8a28f7d6cc0efaaf2178f66f2c2a25d2335511fd83f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ac456c12d4103fbd60c80bbe72467cd9fd1aa69691535651eeadab4964fb15b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-05-18T14:08:50Z",
    "title_canon_sha256": "8d54c7bc94dfcdbe7068fcfdd433a0bd88c639c20eb04c21e31cd6bd2f7cdb79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.4162",
    "kind": "arxiv",
    "version": 2
  }
}