Pith Number

pith:JFPYGD2C

pith:2015:JFPYGD2CWZJINJXOBEKOIYLHA7

not attested not anchored not stored refs pending

Counting points of schemes over finite rings and counting representations of arithmetic lattices

Avraham Aizenbud, Nir Avni

arxiv:1502.07004 v2 · 2015-02-24 · math.GR · math.AG · math.NT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JFPYGD2CWZJINJXOBEKOIYLHA7}

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	2026-05-18T00:00:46.078020Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

495f830f42b65286a6ee0914e4616707dba5482b8268bfdab9a6ecd8885b052f

Aliases

arxiv: 1502.07004 · arxiv_version: 1502.07004v2 · doi: 10.48550/arxiv.1502.07004 · pith_short_12: JFPYGD2CWZJI · pith_short_16: JFPYGD2CWZJINJXO · pith_short_8: JFPYGD2C

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/JFPYGD2CWZJINJXOBEKOIYLHA7 \
  | 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: 495f830f42b65286a6ee0914e4616707dba5482b8268bfdab9a6ecd8885b052f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c212c14e1ec3d828caa109b5f1106e657fa68fa43591030c14f5627eb10d3c0e",
    "cross_cats_sorted": [
      "math.AG",
      "math.NT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-02-24T23:23:45Z",
    "title_canon_sha256": "af24941dfa387d493fe82713c7806200574ba43a0de39c72b3cd41d58f9c7250"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.07004",
    "kind": "arxiv",
    "version": 2
  }
}