Pith Number

pith:3PT2CQTV

pith:2011:3PT2CQTVFT364D3ORZBPYPTQ7J

not attested not anchored not stored refs pending

Minimal knotted polygons in cubic lattices

A. Rechnitzer, E.J. Janse van Rensburg

arxiv:1107.2162 v1 · 2011-07-11 · cond-mat.stat-mech · 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{3PT2CQTVFT364D3ORZBPYPTQ7J}

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	2026-05-18T02:01:20.019678Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbe7a142752cf7ee0f6e8e42fc3e70fa5f15e228a74fb0d97fbab48b23b0ad5f

Aliases

arxiv: 1107.2162 · arxiv_version: 1107.2162v1 · doi: 10.48550/arxiv.1107.2162 · pith_short_12: 3PT2CQTVFT36 · pith_short_16: 3PT2CQTVFT364D3O · pith_short_8: 3PT2CQTV

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/3PT2CQTVFT364D3ORZBPYPTQ7J \
  | 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: dbe7a142752cf7ee0f6e8e42fc3e70fa5f15e228a74fb0d97fbab48b23b0ad5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3395707d7976632bafb2f3e5d744e6eef03e80f833d0d1078335543619209326",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-07-11T22:51:06Z",
    "title_canon_sha256": "d2ff24ce70f344662c39a1d17d5caf5e72821f010451ecf16e93c7c4b7203d03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2162",
    "kind": "arxiv",
    "version": 1
  }
}