Pith Number

pith:JIIMZTHT

pith:2012:JIIMZTHT6DOQYN6NHPXCBABMQC

not attested not anchored not stored refs pending

On uniform relationships between combinatorial problems

Damir D. Dzhafarov, Fran\c{c}ois G. Dorais, Jeffry L. Hirst, Joseph R. Mileti, Paul Shafer

arxiv:1212.0157 v5 · 2012-12-01 · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JIIMZTHT6DOQYN6NHPXCBABMQC}

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	2026-05-18T01:21:40.924258Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a10ccccf3f0dd0c37cd3bee20802c80a9d579d95f09d9b80cd05cd14afe2964

Aliases

arxiv: 1212.0157 · arxiv_version: 1212.0157v5 · doi: 10.48550/arxiv.1212.0157 · pith_short_12: JIIMZTHT6DOQ · pith_short_16: JIIMZTHT6DOQYN6N · pith_short_8: JIIMZTHT

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/JIIMZTHT6DOQYN6NHPXCBABMQC \
  | 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: 4a10ccccf3f0dd0c37cd3bee20802c80a9d579d95f09d9b80cd05cd14afe2964

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbde23ebc79d40452a5923a016d81494de72f5da3fa26e5ab82896ec0d9a4dc1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-12-01T20:42:03Z",
    "title_canon_sha256": "ab6fa733ea184875265226dfd97d323c2f2a6973ad9986b0a93f0069251cd6ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0157",
    "kind": "arxiv",
    "version": 5
  }
}