Pith Number

pith:4N4XU2KH

pith:2013:4N4XU2KHCZMG5XBITKY4KPTPKS

not attested not anchored not stored refs pending

Generalized Counting Constraint Satisfaction Problems With Determinantal Circuits

Jacob Turner, Jason Morton

arxiv:1302.1932 v3 · 2013-02-08 · math.CT · 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{4N4XU2KHCZMG5XBITKY4KPTPKS}

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	2026-05-18T01:30:55.703198Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3797a694716586edc289ab1c53e6f5487477379e3764e5892d42e1dc305fa28

Aliases

arxiv: 1302.1932 · arxiv_version: 1302.1932v3 · doi: 10.48550/arxiv.1302.1932 · pith_short_12: 4N4XU2KHCZMG · pith_short_16: 4N4XU2KHCZMG5XBI · pith_short_8: 4N4XU2KH

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/4N4XU2KHCZMG5XBITKY4KPTPKS \
  | 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: e3797a694716586edc289ab1c53e6f5487477379e3764e5892d42e1dc305fa28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f985d50599a9a51f30d15e80bf78e8fb632ea001dee5031370a3620ffb0eb360",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2013-02-08T02:57:46Z",
    "title_canon_sha256": "cf61e29fdb63cf1b104074c80c0060eabbd4c50dd5be99dd6cb90efdf3ef562a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.1932",
    "kind": "arxiv",
    "version": 3
  }
}