Pith Number

pith:YKN5E65N

pith:2011:YKN5E65NKJBAYUE4D5GCAPAR5N

not attested not anchored not stored refs pending

Quelques calculs de sommes de Gauss

Bruno Kahn (IMJ)

arxiv:1108.2818 v1 · 2011-08-13 · 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{YKN5E65NKJBAYUE4D5GCAPAR5N}

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	2026-05-18T03:03:10.430448Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c29bd27bad52420c509c1f4c203c11eb51ab345cbb17ed2f4b6c53ba7584798c

Aliases

arxiv: 1108.2818 · arxiv_version: 1108.2818v1 · doi: 10.48550/arxiv.1108.2818 · pith_short_12: YKN5E65NKJBA · pith_short_16: YKN5E65NKJBAYUE4 · pith_short_8: YKN5E65N

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/YKN5E65NKJBAYUE4D5GCAPAR5N \
  | 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: c29bd27bad52420c509c1f4c203c11eb51ab345cbb17ed2f4b6c53ba7584798c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d45f9311e18e3f1d23c6eea6ebe5a13122e883dd2c3684ec818c8ef4133e0fc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-08-13T20:11:41Z",
    "title_canon_sha256": "f1ec894b58f7ddb59687b77a46322e0a7dfac53d9998f5f7d4bd06134702e5aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.2818",
    "kind": "arxiv",
    "version": 1
  }
}