Pith Number

pith:YUYP6CC4

pith:2012:YUYP6CC4R5O5PUQULM3ONJTCG2

not attested not anchored not stored refs pending

Nesterenko's criterion when the small linear forms oscillate

St\'ephane Fischler (LM-Orsay)

arxiv:1201.2651 v1 · 2012-01-12 · 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{YUYP6CC4R5O5PUQULM3ONJTCG2}

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	2026-05-18T04:04:43.951021Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c530ff085c8f5dd7d2145b36e6a6623690ea2b50eb0ddf7552d408a01ac69036

Aliases

arxiv: 1201.2651 · arxiv_version: 1201.2651v1 · doi: 10.48550/arxiv.1201.2651 · pith_short_12: YUYP6CC4R5O5 · pith_short_16: YUYP6CC4R5O5PUQU · pith_short_8: YUYP6CC4

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/YUYP6CC4R5O5PUQULM3ONJTCG2 \
  | 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: c530ff085c8f5dd7d2145b36e6a6623690ea2b50eb0ddf7552d408a01ac69036

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fdbda8925e3f386651f73a9a8eb5a31560bad2953da96295fc9f67ceaa2f9c3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-01-12T19:35:51Z",
    "title_canon_sha256": "a38be0fcf962c5698e2475d73c80c48adab9ac6ebb2ee4ca7f2e31cefc078121"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.2651",
    "kind": "arxiv",
    "version": 1
  }
}