Pith Number

pith:JP4SH5SB

pith:2017:JP4SH5SBYRCMETNSTK3QGIZL4I

not attested not anchored not stored refs pending

Local heuristics and an exact formula for abelian varieties of odd prime dimension over finite fields

Cassie Williams, Jonathan Gerhard

arxiv:1708.01351 v3 · 2017-08-04 · 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{JP4SH5SBYRCMETNSTK3QGIZL4I}

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	2026-05-18T00:00:35.473443Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4bf923f641c444c24db29ab703232be22d1bbf6af37e82ffa8557e498e41c019

Aliases

arxiv: 1708.01351 · arxiv_version: 1708.01351v3 · doi: 10.48550/arxiv.1708.01351 · pith_short_12: JP4SH5SBYRCM · pith_short_16: JP4SH5SBYRCMETNS · pith_short_8: JP4SH5SB

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/JP4SH5SBYRCMETNSTK3QGIZL4I \
  | 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: 4bf923f641c444c24db29ab703232be22d1bbf6af37e82ffa8557e498e41c019

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5eedfd087c67103568e54ff282e1ef6d7511a2d972fe8411fcec190943daae99",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-08-04T01:48:20Z",
    "title_canon_sha256": "8501afb85dcd7500a810a9ade7252010997ea0c8fb0a16a322ebf38fa5d7f1ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.01351",
    "kind": "arxiv",
    "version": 3
  }
}