Pith Number

pith:ZGVAYAWL

pith:2014:ZGVAYAWLRULXMWHF7OWMWEHWIZ

not attested not anchored not stored refs pending

Simple crystallizations of 4-manifolds

Biplab Basak, Jonathan Spreer

arxiv:1407.0752 v2 · 2014-07-03 · math.GT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZGVAYAWLRULXMWHF7OWMWEHWIZ}

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	2026-05-18T01:00:54.189374Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9aa0c02cb8d177658e5fbaccb10f6466a444bd45f38b1b57d2104087af606f4

Aliases

arxiv: 1407.0752 · arxiv_version: 1407.0752v2 · doi: 10.48550/arxiv.1407.0752 · pith_short_12: ZGVAYAWLRULX · pith_short_16: ZGVAYAWLRULXMWHF · pith_short_8: ZGVAYAWL

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/ZGVAYAWLRULXMWHF7OWMWEHWIZ \
  | 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: c9aa0c02cb8d177658e5fbaccb10f6466a444bd45f38b1b57d2104087af606f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ead3be027cf8029a5bc23b666014171e824e541e9c38f07710763263c0ae76a8",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-07-03T00:27:23Z",
    "title_canon_sha256": "6bbad37a07ba034b46d717c5947d18c6c5305b41c74636681fa24bf3543d7538"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.0752",
    "kind": "arxiv",
    "version": 2
  }
}