Pith Number

pith:6YFRJPFP

pith:2018:6YFRJPFPN4A4X6NCNCM6NDS2RW

not attested not anchored not stored refs pending

A Whitehead theorem for periodic homotopy groups

Gijs Heuts, Lennart Meier, Tobias Barthel

arxiv:1811.04030 v2 · 2018-11-09 · 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{6YFRJPFPN4A4X6NCNCM6NDS2RW}

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	2026-05-17T23:40:23.870420Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f60b14bcaf6f01cbf9a26899e68e5a8d92fd68beadb9ef3180d5cfd7006c4b8c

Aliases

arxiv: 1811.04030 · arxiv_version: 1811.04030v2 · doi: 10.48550/arxiv.1811.04030 · pith_short_12: 6YFRJPFPN4A4 · pith_short_16: 6YFRJPFPN4A4X6NC · pith_short_8: 6YFRJPFP

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/6YFRJPFPN4A4X6NCNCM6NDS2RW \
  | 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: f60b14bcaf6f01cbf9a26899e68e5a8d92fd68beadb9ef3180d5cfd7006c4b8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c26bc5afa5848c8916a67cf8931a20680e30a527c54eca9c0dc080f902f4d0a5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2018-11-09T17:31:51Z",
    "title_canon_sha256": "4bd0f48d1fa396f68b51bce0daf62a084b0aa6999e8aeac9bf59828371b13bc9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.04030",
    "kind": "arxiv",
    "version": 2
  }
}