Pith Number

pith:GURP3NUS

pith:2012:GURP3NUS4TCXUKK4I6JSVGET7Z

not attested not anchored not stored refs pending

The Large Davenport Constant II: General Upper Bounds

D. J. Grynkiewicz

arxiv:1211.2614 v1 · 2012-11-12 · 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{GURP3NUS4TCXUKK4I6JSVGET7Z}

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	2026-05-18T03:41:02.783558Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3522fdb692e4c57a295c47932a9893fe590efad9e75da0f165c5b3f65f0c5e7e

Aliases

arxiv: 1211.2614 · arxiv_version: 1211.2614v1 · doi: 10.48550/arxiv.1211.2614 · pith_short_12: GURP3NUS4TCX · pith_short_16: GURP3NUS4TCXUKK4 · pith_short_8: GURP3NUS

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/GURP3NUS4TCXUKK4I6JSVGET7Z \
  | 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: 3522fdb692e4c57a295c47932a9893fe590efad9e75da0f165c5b3f65f0c5e7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9af78b81ba77d57e2521bf6d8a4edce238ec1db35f7494dd54763172bd8bfcdb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-11-12T13:47:43Z",
    "title_canon_sha256": "56ce8b2ff41fb4c8791053bb649da3435567dba5c3bff76317fef08e9479bc9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.2614",
    "kind": "arxiv",
    "version": 1
  }
}