Pith Number

pith:DULE6272

pith:2010:DULE6272NXTDOINZDHMHZKS3XK

not attested not anchored not stored refs pending

Fermat Curves and Brauer-Manin Obstructions

Nicolas Billerey

arxiv:1009.4568 v2 · 2010-09-23 · 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{DULE6272NXTDOINZDHMHZKS3XK}

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	2026-05-18T04:39:58.901419Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d164f6bfa6de63721b919d87caa5bba8a243e3aafb2afe9d593164c5dc422fe

Aliases

arxiv: 1009.4568 · arxiv_version: 1009.4568v2 · doi: 10.48550/arxiv.1009.4568 · pith_short_12: DULE6272NXTD · pith_short_16: DULE6272NXTDOINZ · pith_short_8: DULE6272

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/DULE6272NXTDOINZDHMHZKS3XK \
  | 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: 1d164f6bfa6de63721b919d87caa5bba8a243e3aafb2afe9d593164c5dc422fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "067b184fb86b90d38c2d0f8f01d19f794b5a64c22452fac6c3902ce623050b3e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-09-23T10:33:06Z",
    "title_canon_sha256": "70e7da99b20f5f66c07ef63242b0dd960b9fea23c1f0d08eb28c50c226ad734c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.4568",
    "kind": "arxiv",
    "version": 2
  }
}