Pith Number

pith:JDJ5P4DL

pith:2013:JDJ5P4DLSWTDMO2AGVDC37OVR4

not attested not anchored not stored refs pending

On the Frey-Mazur conjecture over low genus curves

Benjamin Bakker, Jacob Tsimerman

arxiv:1309.6568 v3 · 2013-09-25 · math.AG · math.DG · 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{JDJ5P4DLSWTDMO2AGVDC37OVR4}

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	2026-05-18T01:26:49.332506Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48d3d7f06b95a6363b4035462dfdd58f2c848095b0daa2d3d147ad68038a1622

Aliases

arxiv: 1309.6568 · arxiv_version: 1309.6568v3 · doi: 10.48550/arxiv.1309.6568 · pith_short_12: JDJ5P4DLSWTD · pith_short_16: JDJ5P4DLSWTDMO2A · pith_short_8: JDJ5P4DL

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/JDJ5P4DLSWTDMO2AGVDC37OVR4 \
  | 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: 48d3d7f06b95a6363b4035462dfdd58f2c848095b0daa2d3d147ad68038a1622

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a86ba008d62d4aa5ef6191c053a17084e697ed8a2769c36aef8c40925a01bb1",
    "cross_cats_sorted": [
      "math.DG",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-09-25T16:50:58Z",
    "title_canon_sha256": "fa21380fdf26405303da92b3c299e8fff150e34508af666abd3d7f4638fe39b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.6568",
    "kind": "arxiv",
    "version": 3
  }
}