Pith Number

pith:GD2PHBL7

pith:2007:GD2PHBL7IEY57LFS46F3DDGQ65

not attested not anchored not stored refs pending

Thue equations and torsion groups of elliptic curves

Irene Garcia-Selfa, Jose M. Tornero

arxiv:0706.2955 v1 · 2007-06-20 · 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{GD2PHBL7IEY57LFS46F3DDGQ65}

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	2026-05-18T04:28:28.509386Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30f4f3857f4131dfacb2e78bb18cd0f759a0f9771fd62d56ed6bd3a0f33ab4dd

Aliases

arxiv: 0706.2955 · arxiv_version: 0706.2955v1 · doi: 10.48550/arxiv.0706.2955 · pith_short_12: GD2PHBL7IEY5 · pith_short_16: GD2PHBL7IEY57LFS · pith_short_8: GD2PHBL7

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/GD2PHBL7IEY57LFS46F3DDGQ65 \
  | 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: 30f4f3857f4131dfacb2e78bb18cd0f759a0f9771fd62d56ed6bd3a0f33ab4dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5174eb3c8ac139149c283760e616c4b9508b43788ef3ede21736085bd2312ab8",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2007-06-20T10:16:28Z",
    "title_canon_sha256": "9141ec96f7630c3da3be019ebbedbe7466413490e5fa780e1f75f391e3085d44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0706.2955",
    "kind": "arxiv",
    "version": 1
  }
}