Pith Number

pith:3OJLRTBW

pith:2018:3OJLRTBWIALXWBKG2X6YJAAUTU

not attested not anchored not stored refs pending

Extended \'etale homotopy groups from profinite Galois categories

Peter J. Haine

arxiv:1812.11637 v2 · 2018-12-30 · 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{3OJLRTBWIALXWBKG2X6YJAAUTU}

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	2026-05-17T23:55:53.198490Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db92b8cc3640177b0546d5fd8480149d1cc11ff8a9afe5aa7fc42d72011885d6

Aliases

arxiv: 1812.11637 · arxiv_version: 1812.11637v2 · doi: 10.48550/arxiv.1812.11637 · pith_short_12: 3OJLRTBWIALX · pith_short_16: 3OJLRTBWIALXWBKG · pith_short_8: 3OJLRTBW

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/3OJLRTBWIALXWBKG2X6YJAAUTU \
  | 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: db92b8cc3640177b0546d5fd8480149d1cc11ff8a9afe5aa7fc42d72011885d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7adf2df59e225df25ad6194bc5e99d1e2ea3adcf9bb4adcf6aed189791f7534",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-12-30T23:41:05Z",
    "title_canon_sha256": "62151e5955533d6ac32664eef42a7d4d16a2ce117dba537dec6020a3abe5e7cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.11637",
    "kind": "arxiv",
    "version": 2
  }
}