Pith Number

pith:LAEDV62Z

pith:2010:LAEDV62Z4JFN6W2HNZPZEPWJ4O

not attested not anchored not stored refs pending

Perfect Morse functions and exotic S^2 x S^2's

Jacob Rasmussen

arxiv:1005.4674 v2 · 2010-05-25 · 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{LAEDV62Z4JFN6W2HNZPZEPWJ4O}

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	2026-05-18T04:39:27.701178Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58083afb59e24adf5b476e5f923ec9e3a9ab0ad9f4fcc7f0149bc40b0ba0ca27

Aliases

arxiv: 1005.4674 · arxiv_version: 1005.4674v2 · doi: 10.48550/arxiv.1005.4674 · pith_short_12: LAEDV62Z4JFN · pith_short_16: LAEDV62Z4JFN6W2H · pith_short_8: LAEDV62Z

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/LAEDV62Z4JFN6W2HNZPZEPWJ4O \
  | 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: 58083afb59e24adf5b476e5f923ec9e3a9ab0ad9f4fcc7f0149bc40b0ba0ca27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62957281d8b6ea40a62118c0448d832b3295b963953bef5d88e3ec0c7ab4672c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-05-25T19:56:02Z",
    "title_canon_sha256": "81bde135c01dd9c91aff1f615436cf73a0355483f84bf36d855a4b1c3a41ed4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.4674",
    "kind": "arxiv",
    "version": 2
  }
}