Pith Number

pith:4GM6V4OD

pith:2015:4GM6V4ODRHJNCSRSL6HGCDAGX7

not attested not anchored not stored refs pending

Movie moves for singular link cobordisms in 4-dimensional space

Carmen Caprau

arxiv:1507.04077 v1 · 2015-07-15 · 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{4GM6V4ODRHJNCSRSL6HGCDAGX7}

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	2026-05-18T01:12:25.255928Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e199eaf1c389d2d14a325f8e610c06bfd8ac6a3e502a47b75aa59a6f8f5c26ad

Aliases

arxiv: 1507.04077 · arxiv_version: 1507.04077v1 · doi: 10.48550/arxiv.1507.04077 · pith_short_12: 4GM6V4ODRHJN · pith_short_16: 4GM6V4ODRHJNCSRS · pith_short_8: 4GM6V4OD

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/4GM6V4ODRHJNCSRSL6HGCDAGX7 \
  | 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: e199eaf1c389d2d14a325f8e610c06bfd8ac6a3e502a47b75aa59a6f8f5c26ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad8e19319dc6280787203b51bee431b2c17948ec669650a61e07a351974dd58d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-07-15T03:27:01Z",
    "title_canon_sha256": "5a44e58eedf8b5c3bdfd1cd1168db1f0664c8a261d354bf8a53747de6ee9b71f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.04077",
    "kind": "arxiv",
    "version": 1
  }
}