Pith Number

pith:LHZXBRA7

pith:2010:LHZXBRA72RATZDI66RFZ4M2OKH

not attested not anchored not stored refs pending

Geometric approach to stable homotopy groups of spheres II. The Kervaire invariant

Petr M. Akhmet'ev

arxiv:1011.5717 v3 · 2010-11-26 · 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{LHZXBRA72RATZDI66RFZ4M2OKH}

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	2026-05-18T04:03:54.607932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59f370c41fd4413c8d1ef44b9e334e51d7a99089f0638c5cbfc4b09edd500a31

Aliases

arxiv: 1011.5717 · arxiv_version: 1011.5717v3 · doi: 10.48550/arxiv.1011.5717 · pith_short_12: LHZXBRA72RAT · pith_short_16: LHZXBRA72RATZDI6 · pith_short_8: LHZXBRA7

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/LHZXBRA72RATZDI66RFZ4M2OKH \
  | 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: 59f370c41fd4413c8d1ef44b9e334e51d7a99089f0638c5cbfc4b09edd500a31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9a1fa8a0c864a88564dc2d2203fd7355e8e6b7801f57c55d158272221c7ccba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2010-11-26T06:50:30Z",
    "title_canon_sha256": "4527aae4e17314c6222f6064ecb53cc3196549c8b8938c8e21cfe9eb229b6259"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.5717",
    "kind": "arxiv",
    "version": 3
  }
}