Pith Number

pith:4N47M63O

pith:2009:4N47M63OQNJQ4O2FFUKQIYF5HZ

not attested not anchored not stored refs pending

Generalised Weber Functions

Andreas Enge (INRIA Bordeaux - Sud-Ouest), Fran\c{c}ois Morain (LIX, INRIA Saclay - Ile de France)

arxiv:0905.3250 v2 · 2009-05-20 · 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{4N47M63OQNJQ4O2FFUKQIYF5HZ}

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	2026-05-18T03:04:14.190566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e379f67b6e83530e3b452d150460bd3e7ce470924ea1102fbeb99443340a93d2

Aliases

arxiv: 0905.3250 · arxiv_version: 0905.3250v2 · doi: 10.48550/arxiv.0905.3250 · pith_short_12: 4N47M63OQNJQ · pith_short_16: 4N47M63OQNJQ4O2F · pith_short_8: 4N47M63O

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/4N47M63OQNJQ4O2FFUKQIYF5HZ \
  | 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: e379f67b6e83530e3b452d150460bd3e7ce470924ea1102fbeb99443340a93d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9745569b24106437de8bb895ca5c4e24acf2f619c3514534a0aa421133e0cea0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-05-20T09:08:29Z",
    "title_canon_sha256": "49aa6469476145dabea072ec0ef0d8034422322bb0deb8ac563591e8b22e4a3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.3250",
    "kind": "arxiv",
    "version": 2
  }
}