Pith Number

pith:ACAQD6L5

pith:2016:ACAQD6L5NQHL56BF6DHADZRV76

not attested not anchored not stored refs pending

Distribution of the trace of Frobenius on average for rank 2 Drinfeld modules

Abel Castillo

arxiv:1603.08227 v1 · 2016-03-27 · 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{ACAQD6L5NQHL56BF6DHADZRV76}

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	2026-05-18T01:18:12.828923Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

008101f97d6c0ebef825f0ce01e635ffbba3b93224e53010651b114d67c5c925

Aliases

arxiv: 1603.08227 · arxiv_version: 1603.08227v1 · doi: 10.48550/arxiv.1603.08227 · pith_short_12: ACAQD6L5NQHL · pith_short_16: ACAQD6L5NQHL56BF · pith_short_8: ACAQD6L5

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/ACAQD6L5NQHL56BF6DHADZRV76 \
  | 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: 008101f97d6c0ebef825f0ce01e635ffbba3b93224e53010651b114d67c5c925

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4ca267d8ab05b307001d9e27e522bac6273e13551b1daecd80cf2e156f606d1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-03-27T15:36:36Z",
    "title_canon_sha256": "d135faeef53e58db1dd337521f24dc7f8e89393224d69064a56edf7f9ce2f769"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.08227",
    "kind": "arxiv",
    "version": 1
  }
}