Pith Number

pith:QMC2WICB

pith:2012:QMC2WICB2QMGHW4SFF7YWJV3KR

not attested not anchored not stored refs pending

Expanding Polynomials over the rationals

Jozsef Solymosi

arxiv:1212.3365 v1 · 2012-12-13 · math.CO · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QMC2WICB2QMGHW4SFF7YWJV3KR}

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	2026-05-18T03:38:24.865077Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8305ab2041d41863db92297f8b26bb5468d500260ff0ee2635f4f7f856a8d82a

Aliases

arxiv: 1212.3365 · arxiv_version: 1212.3365v1 · doi: 10.48550/arxiv.1212.3365 · pith_short_12: QMC2WICB2QMG · pith_short_16: QMC2WICB2QMGHW4S · pith_short_8: QMC2WICB

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/QMC2WICB2QMGHW4SFF7YWJV3KR \
  | 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: 8305ab2041d41863db92297f8b26bb5468d500260ff0ee2635f4f7f856a8d82a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e43f9163e735aa5cf0fc94a75d373f3ed7d4e4f0a083b03e91994e0d0b4277aa",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-12-13T23:27:07Z",
    "title_canon_sha256": "293950227f4e25cbc8922df9b5bfae5597ebeec8290ab026e5657e685e61cab7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3365",
    "kind": "arxiv",
    "version": 1
  }
}