Pith Number

pith:RXJJF6TS

pith:2012:RXJJF6TSJGD5T6GIFQXHUJRZJW

not attested not anchored not stored refs pending

Selmer companion curves

Barry Mazur, Karl Rubin

arxiv:1203.0620 v2 · 2012-03-03 · 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{RXJJF6TSJGD5T6GIFQXHUJRZJW}

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	2026-05-18T03:48:33.839277Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8dd292fa724987d9f8c82c2e7a26394da0104b62d0c7128ef28115af470816eb

Aliases

arxiv: 1203.0620 · arxiv_version: 1203.0620v2 · doi: 10.48550/arxiv.1203.0620 · pith_short_12: RXJJF6TSJGD5 · pith_short_16: RXJJF6TSJGD5T6GI · pith_short_8: RXJJF6TS

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/RXJJF6TSJGD5T6GIFQXHUJRZJW \
  | 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: 8dd292fa724987d9f8c82c2e7a26394da0104b62d0c7128ef28115af470816eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d9f196550d5244961da668561190ff404c75903eb7e34dcfbfaa384b6dc7a6f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-03-03T07:27:26Z",
    "title_canon_sha256": "d8aa4b20bcaba6f0282e4fd3d801d9b2ed728dfb04c3d1d860e0e2a41b24a985"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.0620",
    "kind": "arxiv",
    "version": 2
  }
}