Pith Number

pith:XETKRIL4

pith:2011:XETKRIL4RMP5JQJYISSMNLAHS3

not attested not anchored not stored refs pending

Torsion Points on Elliptic Curves in Weierstrass Form

Philipp Habegger

arxiv:1105.4435 v1 · 2011-05-23 · 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{XETKRIL4RMP5JQJYISSMNLAHS3}

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	2026-05-18T04:21:29.270155Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b926a8a17c8b1fd4c13844a4c6ac0796dc3b29a44a507da6e6882d4eef1cccdd

Aliases

arxiv: 1105.4435 · arxiv_version: 1105.4435v1 · doi: 10.48550/arxiv.1105.4435 · pith_short_12: XETKRIL4RMP5 · pith_short_16: XETKRIL4RMP5JQJY · pith_short_8: XETKRIL4

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/XETKRIL4RMP5JQJYISSMNLAHS3 \
  | 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: b926a8a17c8b1fd4c13844a4c6ac0796dc3b29a44a507da6e6882d4eef1cccdd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9a60201d5e07ad5b68c1d56402d1027a02808cb401360360ac086f0e0b85641",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-05-23T08:42:14Z",
    "title_canon_sha256": "ec2f5d59ef4f14d2203b7d880e004411e8b5205069ef1661eb431479c10b4dda"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.4435",
    "kind": "arxiv",
    "version": 1
  }
}