Pith Number

pith:KES3XMLK

pith:2024:KES3XMLKPQD52ICNS63O4E7SG5

not attested not anchored not stored refs pending

Unstable homotopy groups and Lie algebras

Connor Malin, Mark Behrens

arxiv:2410.18330 v4 · 2024-10-23 · 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{KES3XMLKPQD52ICNS63O4E7SG5}

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	2026-05-21T01:04:12.189516Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5125bbb16a7c07dd204d97b6ee13f237584aa9a8ec5dd85af8d75be6785c1784

Aliases

arxiv: 2410.18330 · arxiv_version: 2410.18330v4 · doi: 10.48550/arxiv.2410.18330 · pith_short_12: KES3XMLKPQD5 · pith_short_16: KES3XMLKPQD52ICN · pith_short_8: KES3XMLK

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/KES3XMLKPQD52ICNS63O4E7SG5 \
  | 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: 5125bbb16a7c07dd204d97b6ee13f237584aa9a8ec5dd85af8d75be6785c1784

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d1bd8b5a14f486e6cdeeadb9c525b7b5901f98ad9ee25bbf0198a5ac03b0d2f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2024-10-23T23:55:53Z",
    "title_canon_sha256": "2508640c28a773b0e085e7a14842670efa922009e6c76f77d99469b470080124"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.18330",
    "kind": "arxiv",
    "version": 4
  }
}