Pith Number

pith:V37OJRYB

pith:2013:V37OJRYBMA5BDPYN7YKTPC7IGL

not attested not anchored not stored refs pending

Converting homotopies to isotopies and dividing homotopies in half in an effective way

Gregory R. Chambers, Yevgeny Liokumovich

arxiv:1311.0779 v2 · 2013-11-04 · math.DG · 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{V37OJRYBMA5BDPYN7YKTPC7IGL}

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	2026-05-18T03:02:56.833916Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aefee4c701603a11bf0dfe15378be832cad7b8ed944b9e77f5d04e45a4af1fdf

Aliases

arxiv: 1311.0779 · arxiv_version: 1311.0779v2 · doi: 10.48550/arxiv.1311.0779 · pith_short_12: V37OJRYBMA5B · pith_short_16: V37OJRYBMA5BDPYN · pith_short_8: V37OJRYB

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/V37OJRYBMA5BDPYN7YKTPC7IGL \
  | 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: aefee4c701603a11bf0dfe15378be832cad7b8ed944b9e77f5d04e45a4af1fdf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47df16d812aac38538d1d373da68ac596835c4a965e0b43a4a05dfaea6d006ea",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-11-04T17:27:06Z",
    "title_canon_sha256": "3b01450b238657028c95d7050bd8052480023342de018a1094942955ba2ad91f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.0779",
    "kind": "arxiv",
    "version": 2
  }
}