Pith Number

pith:OVAKAI2J

pith:2023:OVAKAI2JY56MUCL6N63PFHAOKU

not attested not anchored not stored refs pending

Some asymptotic formulae for torsion in homotopy groups

Guy Boyde, Ruizhi Huang

arxiv:2301.02497 v1 · 2023-01-06 · 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{OVAKAI2JY56MUCL6N63PFHAOKU}

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	2026-07-05T09:37:30.248379Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7540a02349c77cca097e6fb6f29c0e5509aea9e58b646fa9d553e4f6821d0718

Aliases

arxiv: 2301.02497 · arxiv_version: 2301.02497v1 · doi: 10.48550/arxiv.2301.02497 · pith_short_12: OVAKAI2JY56M · pith_short_16: OVAKAI2JY56MUCL6 · pith_short_8: OVAKAI2J

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/OVAKAI2JY56MUCL6N63PFHAOKU \
  | 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: 7540a02349c77cca097e6fb6f29c0e5509aea9e58b646fa9d553e4f6821d0718

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67adedc505da90e9400bd49a1154d392f08b395cc6ea4e7072a51ede394864e2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2023-01-06T13:16:28Z",
    "title_canon_sha256": "e05c869197101b011282f1bccaae8c2e945c56e923af33c572b6619f21ab4061"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2301.02497",
    "kind": "arxiv",
    "version": 1
  }
}