Pith Number

pith:VVON3CDS

pith:2009:VVON3CDSRYU6L5XZO7MUHU75VE

not attested not anchored not stored refs pending

Slicing mixed Bing-Whitehead doubles

Adam Simon Levine

arxiv:0912.5222 v3 · 2009-12-28 · 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{VVON3CDSRYU6L5XZO7MUHU75VE}

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	2026-05-18T02:52:49.791301Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad5cdd88728e29e5f6f977d943d3fda91588ba9e35bc1c7e538b39d0fdd71ffc

Aliases

arxiv: 0912.5222 · arxiv_version: 0912.5222v3 · doi: 10.48550/arxiv.0912.5222 · pith_short_12: VVON3CDSRYU6 · pith_short_16: VVON3CDSRYU6L5XZ · pith_short_8: VVON3CDS

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/VVON3CDSRYU6L5XZO7MUHU75VE \
  | 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: ad5cdd88728e29e5f6f977d943d3fda91588ba9e35bc1c7e538b39d0fdd71ffc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9747c0473593d0e13c41b20e4942aea20f646b35a7dd339b1d01e5893c4205fa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2009-12-28T23:01:50Z",
    "title_canon_sha256": "badd360efb522c81affaacc68fa7beac4550165a1b457a9fd0f0529edf0d2722"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.5222",
    "kind": "arxiv",
    "version": 3
  }
}