Pith Number

pith:CIP46TNK

pith:2009:CIP46TNKBTPAQQPSJREFBCVUVY

not attested not anchored not stored refs pending

Pairings on hyperelliptic curves

Edlyn Teske, Jennifer Balakrishnan, Juliana Belding, Katherine Stange, Kirsten Eisentraeger, Sarah Chisholm

arxiv:0908.3731 v2 · 2009-08-26 · math.NT · cs.CR · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CIP46TNKBTPAQQPSJREFBCVUVY}

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	2026-05-18T02:30:33.003517Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

121fcf4daa0cde0841f24c48508ab4ae25564bfa3c13684750481720fc738229

Aliases

arxiv: 0908.3731 · arxiv_version: 0908.3731v2 · doi: 10.48550/arxiv.0908.3731 · pith_short_12: CIP46TNKBTPA · pith_short_16: CIP46TNKBTPAQQPS · pith_short_8: CIP46TNK

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/CIP46TNKBTPAQQPSJREFBCVUVY \
  | 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: 121fcf4daa0cde0841f24c48508ab4ae25564bfa3c13684750481720fc738229

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d75ca5b21fc0d6adcb37017f5be86caec084b8856fc2fef31c456a0c3335c6c2",
    "cross_cats_sorted": [
      "cs.CR",
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-08-26T06:28:35Z",
    "title_canon_sha256": "4ce244d0d5886d4590acf38cb230bc2bb39635c9355b3b7f76a870004ab19f4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.3731",
    "kind": "arxiv",
    "version": 2
  }
}