Pith Number

pith:55X4G76V

pith:2025:55X4G76VP2LU2PHCNVRC5P66IN

not attested not anchored not stored refs pending

Extending families of homeomorphisms over 4-dimensional handlebodies

Corey Bregman, Jan Steinebrunner, Rachael Boyd

arxiv:2503.19989 v1 · 2025-03-25 · math.GT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{55X4G76VP2LU2PHCNVRC5P66IN}

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	2026-05-27T14:06:36.770836Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef6fc37fd57e974d3ce26d622ebfde4369e644abb5ddb52f8a20fdf73919977a

Aliases

arxiv: 2503.19989 · arxiv_version: 2503.19989v1 · doi: 10.48550/arxiv.2503.19989 · pith_short_12: 55X4G76VP2LU · pith_short_16: 55X4G76VP2LU2PHC · pith_short_8: 55X4G76V

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/55X4G76VP2LU2PHCNVRC5P66IN \
  | 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: ef6fc37fd57e974d3ce26d622ebfde4369e644abb5ddb52f8a20fdf73919977a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17ee011413c47c23f657327e368db78f3a4d3dc94fdcb69aaee30292d4c8e1c9",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2025-03-25T18:20:43Z",
    "title_canon_sha256": "dae95d2d4372c870a75939e8b7ff890058bf2ef3a35731b07e0ea29493124b25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.19989",
    "kind": "arxiv",
    "version": 1
  }
}