Pith Number

pith:R7NV2NHL

pith:2013:R7NV2NHLVWH37IAY5DT7OH4V23

not attested not anchored not stored refs pending

Th\'eor\`eme de Chebotarev et complexit\'e de Littlewood

Jo\"el Bella\"iche

arxiv:1308.1022 v1 · 2013-08-05 · 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{R7NV2NHLVWH37IAY5DT7OH4V23}

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	2026-05-18T03:16:40.920635Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8fdb5d34ebad8fbfa018e8e7f71f95d6d350ce823c12c391cbe4dc22abb65229

Aliases

arxiv: 1308.1022 · arxiv_version: 1308.1022v1 · doi: 10.48550/arxiv.1308.1022 · pith_short_12: R7NV2NHLVWH3 · pith_short_16: R7NV2NHLVWH37IAY · pith_short_8: R7NV2NHL

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/R7NV2NHLVWH37IAY5DT7OH4V23 \
  | 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: 8fdb5d34ebad8fbfa018e8e7f71f95d6d350ce823c12c391cbe4dc22abb65229

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "111cf1b535a45062db0b277cc461fd9d824f62ca44b5604daaf8ab1fcd183d52",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-08-05T15:54:39Z",
    "title_canon_sha256": "b8f57bae4e9206a712893a52375e7c47793177c9532817b5ce5309227e28c00b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.1022",
    "kind": "arxiv",
    "version": 1
  }
}