Pith Number

pith:2JPSSCCW

pith:2015:2JPSSCCW3XGHZ2SGFE6NZQRGCD

not attested not anchored not stored refs pending

Arithmetic properties of the Frobenius traces defined by a rational abelian variety (with two appendices by J-P. Serre)

Alice Silverberg, Alina Carmen Cojocaru, Katherine E. Stange, Rachel Davis

arxiv:1504.00902 v4 · 2015-04-03 · 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{2JPSSCCW3XGHZ2SGFE6NZQRGCD}

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	2026-05-18T01:16:33.429500Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d25f290856ddcc7cea46293cdcc22610ff343384259eff4a5626e0ff5b212575

Aliases

arxiv: 1504.00902 · arxiv_version: 1504.00902v4 · doi: 10.48550/arxiv.1504.00902 · pith_short_12: 2JPSSCCW3XGH · pith_short_16: 2JPSSCCW3XGHZ2SG · pith_short_8: 2JPSSCCW

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/2JPSSCCW3XGHZ2SGFE6NZQRGCD \
  | 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: d25f290856ddcc7cea46293cdcc22610ff343384259eff4a5626e0ff5b212575

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dad948d64cc8f1e75483c077a57d2eb5ff4918eb37f9cc107fbcc2e9800540b5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-04-03T17:48:32Z",
    "title_canon_sha256": "8ce44058b0e46965fd72988509a2527ff47185163bb8692e8070ee6d05f5a24a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.00902",
    "kind": "arxiv",
    "version": 4
  }
}