Pith Number

pith:TL7GPE6V

pith:2015:TL7GPE6VGSR3PRTRUJPDERAROQ

not attested not anchored not stored refs pending

Period and index for higher genus curves

Shahed Sharif

arxiv:1510.02839 v1 · 2015-10-09 · 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{TL7GPE6VGSR3PRTRUJPDERAROQ}

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	2026-05-18T01:30:33.639215Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9afe6793d534a3b7c671a25e324411743f456d8ce247f7a05a5883efd3fcf943

Aliases

arxiv: 1510.02839 · arxiv_version: 1510.02839v1 · doi: 10.48550/arxiv.1510.02839 · pith_short_12: TL7GPE6VGSR3 · pith_short_16: TL7GPE6VGSR3PRTR · pith_short_8: TL7GPE6V

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/TL7GPE6VGSR3PRTRUJPDERAROQ \
  | 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: 9afe6793d534a3b7c671a25e324411743f456d8ce247f7a05a5883efd3fcf943

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26f06f713d7e30dec73171809f59c9e684d78a9043b9ab86f055880f7b83f4c5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-10-09T22:16:53Z",
    "title_canon_sha256": "81bf20c087bd4aa3d7dd457147653e64b4c6a8638a08d44663d92d23b10225be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.02839",
    "kind": "arxiv",
    "version": 1
  }
}