Pith Number

pith:X62FWYIP

pith:2010:X62FWYIPYOKYUV4Z3KTORKCUAA

not attested not anchored not stored refs pending

Exotic smooth structures on 4-manifolds with zero signature

Anar Akhmedov, B. Doug Park

arxiv:1006.0293 v2 · 2010-06-02 · math.GT · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X62FWYIPYOKYUV4Z3KTORKCUAA}

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	2026-05-18T02:07:05.736020Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfb45b610fc3958a5799daa6e8a85400067dbe4ad2ccaa75c6874c77579d71b8

Aliases

arxiv: 1006.0293 · arxiv_version: 1006.0293v2 · doi: 10.48550/arxiv.1006.0293 · pith_short_12: X62FWYIPYOKY · pith_short_16: X62FWYIPYOKYUV4Z · pith_short_8: X62FWYIP

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/X62FWYIPYOKYUV4Z3KTORKCUAA \
  | 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: bfb45b610fc3958a5799daa6e8a85400067dbe4ad2ccaa75c6874c77579d71b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85a44bf57dac9a90063920c12d9268833b5897098feea0e487b91562dcb7cd90",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-06-02T04:29:27Z",
    "title_canon_sha256": "640945c24494fbf962be10e4687569f3a6799e1a583e9c82a2da46e871077ddd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.0293",
    "kind": "arxiv",
    "version": 2
  }
}