Pith Number

pith:S5DKMTTS

pith:2012:S5DKMTTS5DV7RXSKG4QR6QLE4O

not attested not anchored not stored refs pending

The rational homotopy of the K(2)-local sphere and the chromatic splitting conjecture for the prime 3 and level 2

Hans-Werner Henn, Mark Mahowald, Paul G. Goerss

arxiv:1210.7031 v3 · 2012-10-26 · 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{S5DKMTTS5DV7RXSKG4QR6QLE4O}

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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	2026-05-18T02:52:23.748866Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9746a64e72e8ebf8de4a37211f4164e3a515c3d239ff9d847610e9ae57be4a54

Aliases

arxiv: 1210.7031 · arxiv_version: 1210.7031v3 · doi: 10.48550/arxiv.1210.7031 · pith_short_12: S5DKMTTS5DV7 · pith_short_16: S5DKMTTS5DV7RXSK · pith_short_8: S5DKMTTS

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/S5DKMTTS5DV7RXSKG4QR6QLE4O \
  | 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: 9746a64e72e8ebf8de4a37211f4164e3a515c3d239ff9d847610e9ae57be4a54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca8e9a7e9b7e21ea6538388e3eba4d763c3953df9c3f0cfd2688954ba00ae34b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-10-26T00:58:12Z",
    "title_canon_sha256": "0f414937a0cb47a43ef74134cdbb2a2aaab3d4f2e19a5033b618b13f36ef7cce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.7031",
    "kind": "arxiv",
    "version": 3
  }
}