Pith Number

pith:KTEVINCI

pith:2016:KTEVINCIJZXE3DHT5BOTWLKN52

not attested not anchored not stored refs pending

Borcherds products with prescribed divisor

Jan Hendrik Bruinier

arxiv:1607.08713 v2 · 2016-07-29 · 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{KTEVINCIJZXE3DHT5BOTWLKN52}

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	2026-05-18T00:34:20.874309Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54c95434484e6e4d8cf3e85d3b2d4deea393ebcea3b355b4190017bf79e90af5

Aliases

arxiv: 1607.08713 · arxiv_version: 1607.08713v2 · doi: 10.48550/arxiv.1607.08713 · pith_short_12: KTEVINCIJZXE · pith_short_16: KTEVINCIJZXE3DHT · pith_short_8: KTEVINCI

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/KTEVINCIJZXE3DHT5BOTWLKN52 \
  | 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: 54c95434484e6e4d8cf3e85d3b2d4deea393ebcea3b355b4190017bf79e90af5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49368045eebfefb4d7a13348a1baf4b3e30e8a0d86642936ac568dc796ea2d8d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-07-29T07:42:26Z",
    "title_canon_sha256": "d98931d4eb797ae115204b712f0229c9a932eeab6e5c54bdf531c82afbfc7382"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.08713",
    "kind": "arxiv",
    "version": 2
  }
}