Pith Number

pith:JK4EELW2

pith:2016:JK4EELW2E4XIICQXHWAH4XQWJF

not attested not anchored not stored refs pending

Abelianization of the F-divided fundamental group scheme

Indranil Biswas, Jo\~ao Pedro P. dos Santos

arxiv:1601.04955 v1 · 2016-01-19 · 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{JK4EELW2E4XIICQXHWAH4XQWJF}

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	2026-05-18T01:22:31.476149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ab8422eda272e840a173d807e5e16497271e61125bfeb18a8bb6841c060ef67

Aliases

arxiv: 1601.04955 · arxiv_version: 1601.04955v1 · doi: 10.48550/arxiv.1601.04955 · pith_short_12: JK4EELW2E4XI · pith_short_16: JK4EELW2E4XIICQX · pith_short_8: JK4EELW2

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/JK4EELW2E4XIICQXHWAH4XQWJF \
  | 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: 4ab8422eda272e840a173d807e5e16497271e61125bfeb18a8bb6841c060ef67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8028ab3a1c652d81ecd9895e5538d583f2dadb2f386eb853b12d6bd23988dbe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-01-19T15:32:42Z",
    "title_canon_sha256": "561c2aaebcd3df65b08a94b6d407d6a83a337a70595f27892a6723174c9ddfed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.04955",
    "kind": "arxiv",
    "version": 1
  }
}