Pith Number

pith:TKQKU7Q7

pith:2012:TKQKU7Q7LUZDDNZFEANLTQETFI

not attested not anchored not stored refs pending

Threshold Digraphs

Brian Cloteaux, Elizabeth Moseman, James Shook, M. Drew Lamar

arxiv:1212.1149 v1 · 2012-12-05 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TKQKU7Q7LUZDDNZFEANLTQETFI}

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	2026-05-18T00:25:40.135814Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9aa0aa7e1f5d3231b725201ab9c0932a11f65c5300941172833764ab80f666e0

Aliases

arxiv: 1212.1149 · arxiv_version: 1212.1149v1 · doi: 10.48550/arxiv.1212.1149 · pith_short_12: TKQKU7Q7LUZD · pith_short_16: TKQKU7Q7LUZDDNZF · pith_short_8: TKQKU7Q7

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/TKQKU7Q7LUZDDNZFEANLTQETFI \
  | 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: 9aa0aa7e1f5d3231b725201ab9c0932a11f65c5300941172833764ab80f666e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c5f238beb96777e8db6d52b01f8ab235b144e416a471afcc50fb26e97d1dff3",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-12-05T20:24:27Z",
    "title_canon_sha256": "09b5f582783dcf9f5c4b95fb4dd830484bc0bdfb0f54cd8b9fd44a6ea4cc63ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1149",
    "kind": "arxiv",
    "version": 1
  }
}