Pith Number

pith:Z3QR2NCU

pith:2011:Z3QR2NCUJKFX4W4UG7WXGF2KUX

not attested not anchored not stored refs pending

The characteristic polynomials of abelian varieties of dimensions 4 over finite fields

Safia Haloui, Vijaykumar Singh

arxiv:1101.5070 v1 · 2011-01-26 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z3QR2NCUJKFX4W4UG7WXGF2KUX}

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	2026-05-18T04:30:46.904981Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cee11d34544a8b7e5b9437ed73174aa5ee14262a87090ba1d7afaf135ef4c813

Aliases

arxiv: 1101.5070 · arxiv_version: 1101.5070v1 · doi: 10.48550/arxiv.1101.5070 · pith_short_12: Z3QR2NCUJKFX · pith_short_16: Z3QR2NCUJKFX4W4U · pith_short_8: Z3QR2NCU

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/Z3QR2NCUJKFX4W4UG7WXGF2KUX \
  | 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: cee11d34544a8b7e5b9437ed73174aa5ee14262a87090ba1d7afaf135ef4c813

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "155f5a39ee4b7799b1c20acda992161426d5338435f78f90953b12d57f40019b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-01-26T14:47:00Z",
    "title_canon_sha256": "31e0ece060f7a1c290d330ccb7c82abc64d88b81d1e2777ddf1e2b1529a4e089"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.5070",
    "kind": "arxiv",
    "version": 1
  }
}