Pith Number

pith:WNKQEQ2R

pith:2010:WNKQEQ2R3XPI752MI4I3ABMQOB

not attested not anchored not stored refs pending

Pulling back the Gromoll-Meyer construction and models of exotic spheres

Llohann D. Speran\c{c}a

arxiv:1010.6039 v3 · 2010-10-28 · math.DG · 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{WNKQEQ2R3XPI752MI4I3ABMQOB}

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	2026-05-18T02:52:14.980291Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b355024351ddde8ff74c4711b0059070562222bc28463eac9593b6809a078e2e

Aliases

arxiv: 1010.6039 · arxiv_version: 1010.6039v3 · doi: 10.48550/arxiv.1010.6039 · pith_short_12: WNKQEQ2R3XPI · pith_short_16: WNKQEQ2R3XPI752M · pith_short_8: WNKQEQ2R

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/WNKQEQ2R3XPI752MI4I3ABMQOB \
  | 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: b355024351ddde8ff74c4711b0059070562222bc28463eac9593b6809a078e2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a10c8fa48059ba26ad5bc54ae4f609093a67cd2b4c13bad5a0a14de0215b8ce",
    "cross_cats_sorted": [
      "math.AT",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-10-28T18:31:33Z",
    "title_canon_sha256": "e69768cab3098dc1c7264025b0531be8503e1bb0fc64d3c6fc7fe2ac01b045a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.6039",
    "kind": "arxiv",
    "version": 3
  }
}