Pith Number

pith:V2D4NWMY

pith:2014:V2D4NWMYABVSBKB5XGRTFKHITU

not attested not anchored not stored refs pending

Introductory course on $\ell$-adic sheaves and their ramification theory on curves

Kay R\"ulling, Lars Kindler

arxiv:1409.6899 v3 · 2014-09-24 · 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{V2D4NWMYABVSBKB5XGRTFKHITU}

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	2026-05-18T00:55:25.877625Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae87c6d998006b20a83db9a332a8e89d0f00ee42753fbd4654bbae5995db18ae

Aliases

arxiv: 1409.6899 · arxiv_version: 1409.6899v3 · doi: 10.48550/arxiv.1409.6899 · pith_short_12: V2D4NWMYABVS · pith_short_16: V2D4NWMYABVSBKB5 · pith_short_8: V2D4NWMY

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/V2D4NWMYABVSBKB5XGRTFKHITU \
  | 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: ae87c6d998006b20a83db9a332a8e89d0f00ee42753fbd4654bbae5995db18ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13ac8884aa6d4632876c53063f224967fe527358c658bd34178929db259a32f8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-09-24T11:06:28Z",
    "title_canon_sha256": "acb532d43ddce79a82a4db3ed93d588511ffe7c8b3839dad8320426e51131d08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.6899",
    "kind": "arxiv",
    "version": 3
  }
}