Pith Number

pith:NQBNXY3Y

pith:2010:NQBNXY3YJ2IRLQ3UYX3QGYZT4U

not attested not anchored not stored refs pending

Paramodular Abelian Varieties of Odd Conductor

Armand Brumer, Kenneth Kramer

arxiv:1004.4699 v4 · 2010-04-27 · 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{NQBNXY3YJ2IRLQ3UYX3QGYZT4U}

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	2026-05-18T00:19:05.018710Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c02dbe3784e9115c374c5f7036333e502beb6d86c5e9b7c7f3c3a74d8fb5000

Aliases

arxiv: 1004.4699 · arxiv_version: 1004.4699v4 · doi: 10.48550/arxiv.1004.4699 · pith_short_12: NQBNXY3YJ2IR · pith_short_16: NQBNXY3YJ2IRLQ3U · pith_short_8: NQBNXY3Y

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/NQBNXY3YJ2IRLQ3UYX3QGYZT4U \
  | 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: 6c02dbe3784e9115c374c5f7036333e502beb6d86c5e9b7c7f3c3a74d8fb5000

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d769597d9f31c43dad1ae043c160e1d6bf3084a49c170af1d488745705c9b18e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-04-27T03:22:27Z",
    "title_canon_sha256": "cc53597f5e1a9015556f8de7a0dd62d7b70e081d849e6b75a578dbbdd329f2bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.4699",
    "kind": "arxiv",
    "version": 4
  }
}