Pith Number

pith:GPEBCZUB

pith:2013:GPEBCZUBRITRRBROQTO2NTD72Q

not attested not anchored not stored refs pending

Darmon points on elliptic curves over totally real fields

Amod Agashe, Mak Trifkovic

arxiv:1310.4237 v1 · 2013-10-16 · 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{GPEBCZUBRITRRBROQTO2NTD72Q}

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	2026-05-18T03:10:23.466142Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33c81166818a2718862e84dda6cc7fd4370054fbff9e4ca123c5bfaf3d5e2ad2

Aliases

arxiv: 1310.4237 · arxiv_version: 1310.4237v1 · doi: 10.48550/arxiv.1310.4237 · pith_short_12: GPEBCZUBRITR · pith_short_16: GPEBCZUBRITRRBRO · pith_short_8: GPEBCZUB

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/GPEBCZUBRITRRBROQTO2NTD72Q \
  | 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: 33c81166818a2718862e84dda6cc7fd4370054fbff9e4ca123c5bfaf3d5e2ad2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25eddf1d51c43e02ec1e7f86919e3e80282bed4f0da8b104b05b1ac59519ba48",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-10-16T00:49:11Z",
    "title_canon_sha256": "1d926211b95818cad6409416f07004426a1855050fdde4f1531ffbcee5120e55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.4237",
    "kind": "arxiv",
    "version": 1
  }
}