Pith Number

pith:KQLEELWX

pith:2015:KQLEELWXZZHA24E3K4F2T5TDWB

not attested not anchored not stored refs pending

\'Etale homotopy types of moduli stacks of polarised abelian schemes

Frank Neumann, Paola Frediani

arxiv:1512.07544 v2 · 2015-12-23 · 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{KQLEELWXZZHA24E3K4F2T5TDWB}

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	2026-05-18T00:55:34.364352Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5416422ed7ce4e0d709b570ba9f663b072b4fa47e84b6901e821eac1514c6975

Aliases

arxiv: 1512.07544 · arxiv_version: 1512.07544v2 · doi: 10.48550/arxiv.1512.07544 · pith_short_12: KQLEELWXZZHA · pith_short_16: KQLEELWXZZHA24E3 · pith_short_8: KQLEELWX

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/KQLEELWXZZHA24E3K4F2T5TDWB \
  | 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: 5416422ed7ce4e0d709b570ba9f663b072b4fa47e84b6901e821eac1514c6975

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c8b9a69dcc4ffe6b98d48619b3b1662e647535adc7e6448b209b16562e5d02a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-12-23T17:06:04Z",
    "title_canon_sha256": "69d53a7cc003f936463cfd53c5f61b826ce5f5252628a6c9f0230e97df1a1b67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.07544",
    "kind": "arxiv",
    "version": 2
  }
}