Pith Number

pith:2QLGZJYU

pith:2016:2QLGZJYUC3ZDEEOBO5BPMKADLD

not attested not anchored not stored refs pending

Number of irreducible mod l rank 2 sheaves on curves over finite fields

Chandrashekhar Khare, Gebhard B\"ockle

arxiv:1606.03618 v1 · 2016-06-11 · 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{2QLGZJYUC3ZDEEOBO5BPMKADLD}

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	2026-05-18T01:12:33.518682Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4166ca71416f23211c17742f6280358ed6292025d0e4dab7685a15df302f8db

Aliases

arxiv: 1606.03618 · arxiv_version: 1606.03618v1 · doi: 10.48550/arxiv.1606.03618 · pith_short_12: 2QLGZJYUC3ZD · pith_short_16: 2QLGZJYUC3ZDEEOB · pith_short_8: 2QLGZJYU

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/2QLGZJYUC3ZDEEOBO5BPMKADLD \
  | 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: d4166ca71416f23211c17742f6280358ed6292025d0e4dab7685a15df302f8db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b7c88f4912e064feafd11b6691bb89803bb88365bd2d1aefeb9c8548b89956c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-06-11T18:35:44Z",
    "title_canon_sha256": "158310c9d9efe2a599cb4f30ca3093a4d70f109ba9748ecdc8d5c7f38c112b6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.03618",
    "kind": "arxiv",
    "version": 1
  }
}