Pith Number

pith:JVWRM3DG

pith:2012:JVWRM3DGRWMPK4N2AR2MZHDNZ4

not attested not anchored not stored refs pending

Generalised root identities for zeta functions of curves over finite fields

Richard Stone

arxiv:1202.4351 v1 · 2012-02-12 · math.NT · math.CA · math.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JVWRM3DGRWMPK4N2AR2MZHDNZ4}

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	2026-05-18T04:01:51.677082Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d6d166c668d98f571ba0474cc9c6dcf1acb2f1ef9717936bc99032ca33123a8

Aliases

arxiv: 1202.4351 · arxiv_version: 1202.4351v1 · doi: 10.48550/arxiv.1202.4351 · pith_short_12: JVWRM3DGRWMP · pith_short_16: JVWRM3DGRWMPK4N2 · pith_short_8: JVWRM3DG

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/JVWRM3DGRWMPK4N2AR2MZHDNZ4 \
  | 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: 4d6d166c668d98f571ba0474cc9c6dcf1acb2f1ef9717936bc99032ca33123a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc51d5611b4736a140e7020b7b4cd9287ff9d4e7cd544c483c8047ac725a9891",
    "cross_cats_sorted": [
      "math.CA",
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-02-12T10:38:47Z",
    "title_canon_sha256": "8197502c4c6c90b330465b4bbcba8eb4c9c7e1fd533ba1bc5d461cbc32be38ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.4351",
    "kind": "arxiv",
    "version": 1
  }
}