Pith Number

pith:AFHQAIPT

pith:1996:AFHQAIPTIEXQTDCKBI5BAFPKGK

not attested not anchored not stored refs pending

Proper and Unit Trapezoid Orders and Graphs

Kenneth P. Bogart, Rolf H. M\"ohring, Stephen P. Ryan

arxiv:math/9611215 v1 · 1996-11-22 · 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{AFHQAIPTIEXQTDCKBI5BAFPKGK}

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	2026-05-18T01:05:46.901292Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

014f0021f3412f098c4a0a3a1015ea32ae10c238cb5c07c70a7e9dfaeb3235a5

Aliases

arxiv: math/9611215 · arxiv_version: math/9611215v1 · doi: 10.48550/arxiv.math/9611215 · pith_short_12: AFHQAIPTIEXQ · pith_short_16: AFHQAIPTIEXQTDCK · pith_short_8: AFHQAIPT

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/AFHQAIPTIEXQTDCKBI5BAFPKGK \
  | 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: 014f0021f3412f098c4a0a3a1015ea32ae10c238cb5c07c70a7e9dfaeb3235a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b54b7f8f47d045d7a74cbfb94370e5fa8a9221e0ff0f6d118a9baa5512a01d32",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "1996-11-22T00:00:00Z",
    "title_canon_sha256": "2da533cf9b4f8bea17cebf3452846ac08a5fa0eedf977d2906578759b49aa6a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9611215",
    "kind": "arxiv",
    "version": 1
  }
}