Pith Number

pith:3IZ2ZVHX

pith:2014:3IZ2ZVHXEGHLA2EH7DMOK5RWIA

not attested not anchored not stored refs pending

Isotoping 2-spheres in 4-manifolds

Selman Akbulut

arxiv:1406.5654 v1 · 2014-06-21 · 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{3IZ2ZVHXEGHLA2EH7DMOK5RWIA}

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	2026-05-18T02:49:11.053035Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da33acd4f7218eb06887f8d8e5763640117cd7683dcfcd30247073eccc33de85

Aliases

arxiv: 1406.5654 · arxiv_version: 1406.5654v1 · doi: 10.48550/arxiv.1406.5654 · pith_short_12: 3IZ2ZVHXEGHL · pith_short_16: 3IZ2ZVHXEGHLA2EH · pith_short_8: 3IZ2ZVHX

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/3IZ2ZVHXEGHLA2EH7DMOK5RWIA \
  | 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: da33acd4f7218eb06887f8d8e5763640117cd7683dcfcd30247073eccc33de85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb1facaa4aee0baf6780495e99439c64230790704df44cd08df5c7ef07070b49",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-06-21T21:44:06Z",
    "title_canon_sha256": "8cc862c8ff777f4e4dd5c44012f8d6bdfb4507a5422f1058e73a25b7348936f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.5654",
    "kind": "arxiv",
    "version": 1
  }
}