Pith Number

pith:6HDI35V4

pith:2012:6HDI35V4SXROYVZEEBR3B2RXNR

not attested not anchored not stored refs pending

Bykovskii's theorem and generalized Larcher's theorem

Dmitry Ushanov

arxiv:1202.6025 v2 · 2012-02-27 · 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{6HDI35V4SXROYVZEEBR3B2RXNR}

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	2026-05-18T04:00:13.150474Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1c68df6bc95e2ec57242063b0ea376c5d435b2f4b8764c6261b62655fe37dfa

Aliases

arxiv: 1202.6025 · arxiv_version: 1202.6025v2 · doi: 10.48550/arxiv.1202.6025 · pith_short_12: 6HDI35V4SXRO · pith_short_16: 6HDI35V4SXROYVZE · pith_short_8: 6HDI35V4

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/6HDI35V4SXROYVZEEBR3B2RXNR \
  | 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: f1c68df6bc95e2ec57242063b0ea376c5d435b2f4b8764c6261b62655fe37dfa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "700c59e5bae0ba4fe604f8e6567d4573234974bed66c0cc101ff0555accd514e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-02-27T18:43:50Z",
    "title_canon_sha256": "b1ca99c7be1d89c8bba2d33b3ebe4eeb799b9fe480a41de49a6919122526fb87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.6025",
    "kind": "arxiv",
    "version": 2
  }
}