Pith Number

pith:I77FG3ZE

pith:2011:I77FG3ZE5OPGZ5TL7NGQE73HEV

not attested not anchored not stored refs pending

Rational Homotopy Type of the Classifying Space for Fibrewise Self-Equivalences

Samuel B. Smith, Urtzi Buijs

arxiv:1111.4404 v1 · 2011-11-18 · 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{I77FG3ZE5OPGZ5TL7NGQE73HEV}

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	2026-05-18T04:08:04.460674Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47fe536f24eb9e6cf66bfb4d027f67254a8243145473c8c44df0d428f6807a68

Aliases

arxiv: 1111.4404 · arxiv_version: 1111.4404v1 · doi: 10.48550/arxiv.1111.4404 · pith_short_12: I77FG3ZE5OPG · pith_short_16: I77FG3ZE5OPGZ5TL · pith_short_8: I77FG3ZE

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/I77FG3ZE5OPGZ5TL7NGQE73HEV \
  | 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: 47fe536f24eb9e6cf66bfb4d027f67254a8243145473c8c44df0d428f6807a68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "236df98a22d4061bc6bc851461ca589e9f33ebf294c082919e71b2889e909178",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-11-18T16:01:19Z",
    "title_canon_sha256": "d88e020dc0fa3964f548367c35255a7e03318ed067996c021c4110bf1fab2bdb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.4404",
    "kind": "arxiv",
    "version": 1
  }
}