Pith Number

pith:VH32AMV6

pith:2011:VH32AMV6EYDNZI2KYV3YP4NHSH

not attested not anchored not stored refs pending

A non-trivial ghost kernel for the equivariant stable cohomotopy of projective spaces

Markus Szymik

arxiv:1110.2283 v1 · 2011-10-11 · 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{VH32AMV6EYDNZI2KYV3YP4NHSH}

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	2026-05-18T00:54:58.526892Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9f7a032be2606dca34ac57787f1a791ee6a6caa372a2c693f75d49c2cf1dbe7

Aliases

arxiv: 1110.2283 · arxiv_version: 1110.2283v1 · doi: 10.48550/arxiv.1110.2283 · pith_short_12: VH32AMV6EYDN · pith_short_16: VH32AMV6EYDNZI2K · pith_short_8: VH32AMV6

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/VH32AMV6EYDNZI2KYV3YP4NHSH \
  | 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: a9f7a032be2606dca34ac57787f1a791ee6a6caa372a2c693f75d49c2cf1dbe7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86e3d1baed2c323cc2e14cf57244c246a0be92d8495b323b3fbbca15deef3eed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-10-11T06:35:47Z",
    "title_canon_sha256": "0a2ffe7585171ba898fbee2a181ee20b881b3d94b9a0fc36f6a47477be6a9021"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.2283",
    "kind": "arxiv",
    "version": 1
  }
}