Pith Number

pith:UTD4WQPK

pith:2006:UTD4WQPKLX77SIPEGBPNI4PHHA

not attested not anchored not stored refs pending

Frobenius Problem and dead ends in integers

Zoran Sunic

arxiv:math/0612271 v2 · 2006-12-11 · math.NT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UTD4WQPKLX77SIPEGBPNI4PHHA}

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	2026-05-18T04:08:53.067529Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4c7cb41ea5dfff921e4305ed471e7381b2dbbc1579d0cf74e25e0dc9e72950f

Aliases

arxiv: math/0612271 · arxiv_version: math/0612271v2 · doi: 10.48550/arxiv.math/0612271 · pith_short_12: UTD4WQPKLX77 · pith_short_16: UTD4WQPKLX77SIPE · pith_short_8: UTD4WQPK

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/UTD4WQPKLX77SIPEGBPNI4PHHA \
  | 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: a4c7cb41ea5dfff921e4305ed471e7381b2dbbc1579d0cf74e25e0dc9e72950f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67f02fb9800a847e6b583398379e24e999c6cd5e7384aca4e289833debf7da39",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2006-12-11T08:54:30Z",
    "title_canon_sha256": "59728710eca6a96baf49e70f40e72f5af212d497ab7d91246b9cc121e6d8d32a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0612271",
    "kind": "arxiv",
    "version": 2
  }
}