Pith Number

pith:I5TBWZXV

pith:2015:I5TBWZXVKYLJC3D3FDZYYWTV2H

not attested not anchored not stored refs pending

Prime number races for elliptic curves over function fields

Byungchul Cha, Daniel Fiorilli, Florent Jouve

arxiv:1502.05295 v2 · 2015-02-18 · 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{I5TBWZXVKYLJC3D3FDZYYWTV2H}

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	2026-05-18T02:25:19.668903Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47661b66f55616916c7b28f38c5a75d1c74a980622dcbdda1338b3ca7da70ed6

Aliases

arxiv: 1502.05295 · arxiv_version: 1502.05295v2 · doi: 10.48550/arxiv.1502.05295 · pith_short_12: I5TBWZXVKYLJ · pith_short_16: I5TBWZXVKYLJC3D3 · pith_short_8: I5TBWZXV

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/I5TBWZXVKYLJC3D3FDZYYWTV2H \
  | 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: 47661b66f55616916c7b28f38c5a75d1c74a980622dcbdda1338b3ca7da70ed6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76a475e975b72af00e77e7d76ad9a2868df92ea48e78c92cfdc093a8f1edce7a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-02-18T16:46:09Z",
    "title_canon_sha256": "5a27ed4286a800002bf2971bfd90de82ebbfa745a424c7a9d00273bc181446d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.05295",
    "kind": "arxiv",
    "version": 2
  }
}