Pith Number

pith:MXMUFLTZ

pith:2012:MXMUFLTZZ2WV6IVPZVQEWJGH6L

not attested not anchored not stored refs pending

Characteristics of shape and knotting in ideal rings

Kenneth C. Millett, Laura Zirbel

arxiv:1204.1366 v1 · 2012-04-05 · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MXMUFLTZZ2WV6IVPZVQEWJGH6L}

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	2026-05-18T01:57:56.371844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65d942ae79cead5f22afcd604b24c7f2ef8052c3a48b562373846b21c7477ee1

Aliases

arxiv: 1204.1366 · arxiv_version: 1204.1366v1 · doi: 10.48550/arxiv.1204.1366 · pith_short_12: MXMUFLTZZ2WV · pith_short_16: MXMUFLTZZ2WV6IVP · pith_short_8: MXMUFLTZ

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/MXMUFLTZZ2WV6IVPZVQEWJGH6L \
  | 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: 65d942ae79cead5f22afcd604b24c7f2ef8052c3a48b562373846b21c7477ee1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53ebbdb06188d1b30177ee11046e6d86640894a2d89bda7d0029495bc71bda78",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2012-04-05T22:07:28Z",
    "title_canon_sha256": "36967df2996ffff6ec34401c65d091f51d8ff43ef5db5635a5fd35970d498fe5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.1366",
    "kind": "arxiv",
    "version": 1
  }
}