Pith Number

pith:AOKFBNB6

pith:2015:AOKFBNB6FJLR2H5UQ6ZESFPFTW

not attested not anchored not stored refs pending

On short sums of trace functions

C S. Raju, \'E. Fouvry, E. Kowalski, J. Rivat, K. Soundararajan, Ph. Michel

arxiv:1508.00512 v3 · 2015-08-03 · math.NT

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

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	2026-05-18T01:12:00.366765Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

039450b43e2a571d1fb487b24915e59d9ef341180663e74b092b6e10ec382145

Aliases

arxiv: 1508.00512 · arxiv_version: 1508.00512v3 · doi: 10.48550/arxiv.1508.00512 · pith_short_12: AOKFBNB6FJLR · pith_short_16: AOKFBNB6FJLR2H5U · pith_short_8: AOKFBNB6

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/AOKFBNB6FJLR2H5UQ6ZESFPFTW \
  | 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: 039450b43e2a571d1fb487b24915e59d9ef341180663e74b092b6e10ec382145

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b41a5f42ffff1d7789fdbdc0c5780c51664ae2de060a75207860373bec5a709",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-08-03T18:33:15Z",
    "title_canon_sha256": "c2d9803a103dd6ecd50efa884c19b67fcc08bb332b9885b1754f049157960cee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.00512",
    "kind": "arxiv",
    "version": 3
  }
}