Pith Number

pith:QWTOBMPC

pith:2009:QWTOBMPCRXVO5I7RBXN7B4C3OW

not attested not anchored not stored refs pending

On the non-existence of elements of Kervaire invariant one

Douglas C. Ravenel, Michael A. Hill, Michael J. Hopkins

arxiv:0908.3724 v4 · 2009-08-26 · math.AT · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QWTOBMPCRXVO5I7RBXN7B4C3OW}

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	2026-05-18T02:03:45.578307Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85a6e0b1e28deaeea3f10ddbf0f05b75beb5e98c993b7f5da658be038f273f5a

Aliases

arxiv: 0908.3724 · arxiv_version: 0908.3724v4 · doi: 10.48550/arxiv.0908.3724 · pith_short_12: QWTOBMPCRXVO · pith_short_16: QWTOBMPCRXVO5I7R · pith_short_8: QWTOBMPC

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/QWTOBMPCRXVO5I7RBXN7B4C3OW \
  | 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: 85a6e0b1e28deaeea3f10ddbf0f05b75beb5e98c993b7f5da658be038f273f5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2cab72caa2dbf3d49a4edbb237fa20ebb6b73dbc0381e4cd5c9cdd6093085383",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2009-08-26T03:42:10Z",
    "title_canon_sha256": "c749e6179ad9a1b36c276df917fbb81038fe97b6a7911dba442f725b13a5486e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.3724",
    "kind": "arxiv",
    "version": 4
  }
}