Pith Number

pith:GZG37UUR

pith:2011:GZG37UURNR5N4CTBL5CMAQ7DBZ

not attested not anchored not stored refs pending

Topological complexity and the homotopy cofibre of the diagonal map

J. Calcines, L. Vandembroucq

arxiv:1106.4943 v2 · 2011-06-24 · 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{GZG37UURNR5N4CTBL5CMAQ7DBZ}

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	2026-05-18T04:01:49.682725Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

364dbfd2916c7ade0a615f44c043e30e7f8cb06d2579e53947adeef758bd8234

Aliases

arxiv: 1106.4943 · arxiv_version: 1106.4943v2 · doi: 10.48550/arxiv.1106.4943 · pith_short_12: GZG37UURNR5N · pith_short_16: GZG37UURNR5N4CTB · pith_short_8: GZG37UUR

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/GZG37UURNR5N4CTBL5CMAQ7DBZ \
  | 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: 364dbfd2916c7ade0a615f44c043e30e7f8cb06d2579e53947adeef758bd8234

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "419ed33e1913c830dde33459f78442218226d19da965af732117337fccfeeeec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-06-24T11:41:20Z",
    "title_canon_sha256": "36a4f11b52afa071c3eae8f5be30e7d57cd4c110b98f01b7326da328cc894c40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.4943",
    "kind": "arxiv",
    "version": 2
  }
}