Pith Number

pith:66IUPJ6R

pith:2007:66IUPJ6RHU5HOSCOBYPC6BA42X

not attested not anchored not stored refs pending

Fundamental groups of topological stacks with slice property

Behrang Noohi

arxiv:0710.2615 v1 · 2007-10-13 · math.AT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{66IUPJ6RHU5HOSCOBYPC6BA42X}

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	2026-05-18T02:41:51.909004Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f79147a7d13d3a77484e0e1e2f041cd5c6dd4c862703dc3b63b46b7974d41878

Aliases

arxiv: 0710.2615 · arxiv_version: 0710.2615v1 · doi: 10.48550/arxiv.0710.2615 · pith_short_12: 66IUPJ6RHU5H · pith_short_16: 66IUPJ6RHU5HOSCO · pith_short_8: 66IUPJ6R

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/66IUPJ6RHU5HOSCOBYPC6BA42X \
  | 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: f79147a7d13d3a77484e0e1e2f041cd5c6dd4c862703dc3b63b46b7974d41878

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "500e664042df6ae5c87842a46fbd399b5d7ea53b41fe2be4a4152e8d1181e2cd",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2007-10-13T15:19:04Z",
    "title_canon_sha256": "76a83f99228677d2156847ab302425f901191bbc651a580d32f606dd801e2de0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.2615",
    "kind": "arxiv",
    "version": 1
  }
}