Pith Number

pith:3CGTUCMO

pith:2016:3CGTUCMOXU4VQWDBXONLEFER4P

not attested not anchored not stored refs pending

Sets of Lengths of Powers of a Variable

Daniel Kline, Mark W. Rogers, Richard Belshoff

arxiv:1607.02236 v1 · 2016-07-08 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3CGTUCMOXU4VQWDBXONLEFER4P}

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	2026-05-18T01:11:20.909910Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d88d3a098ebd39585861bb9ab21491e3c2d2afc8ceec708ad443c897452df2c1

Aliases

arxiv: 1607.02236 · arxiv_version: 1607.02236v1 · doi: 10.48550/arxiv.1607.02236 · pith_short_12: 3CGTUCMOXU4V · pith_short_16: 3CGTUCMOXU4VQWDB · pith_short_8: 3CGTUCMO

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/3CGTUCMOXU4VQWDBXONLEFER4P \
  | 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: d88d3a098ebd39585861bb9ab21491e3c2d2afc8ceec708ad443c897452df2c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee67cd27e136f2d1923160f84294fab757bc8a1ee786445a1f57c3ed11a59cf1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-07-08T05:37:14Z",
    "title_canon_sha256": "0cf780ca35492462121440111ee32e208acfb44e1b3a5940103d54a723ab1d7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.02236",
    "kind": "arxiv",
    "version": 1
  }
}