Pith Number

pith:NZAS3OIS

pith:2012:NZAS3OIS3NE6B6TVHULNEQ533M

not attested not anchored not stored refs pending

Ceva's triangle inequalities

\'Arp\'ad B\'enyi, Branko \'Curgus

arxiv:1206.1636 v3 · 2012-06-07 · math.MG · math.CV · math.SG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NZAS3OIS3NE6B6TVHULNEQ533M}

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	2026-05-18T02:21:09.092228Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e412db912db49e0fa753d16d243bbdb1eeba0988e5a2244dd7897fabe3ebbde

Aliases

arxiv: 1206.1636 · arxiv_version: 1206.1636v3 · doi: 10.48550/arxiv.1206.1636 · pith_short_12: NZAS3OIS3NE6 · pith_short_16: NZAS3OIS3NE6B6TV · pith_short_8: NZAS3OIS

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/NZAS3OIS3NE6B6TVHULNEQ533M \
  | 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: 6e412db912db49e0fa753d16d243bbdb1eeba0988e5a2244dd7897fabe3ebbde

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da4d0f85d21d34fc7363c0799f23cace067f8720702908fc5324911ac97dfa0a",
    "cross_cats_sorted": [
      "math.CV",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2012-06-07T22:19:53Z",
    "title_canon_sha256": "a07352751461c2abc8c449d8f0525b6852d2b36c18082ce1152d47e7c4b25a40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.1636",
    "kind": "arxiv",
    "version": 3
  }
}