Pith Number

pith:FSWFRGNY

pith:2026:FSWFRGNY3U22TQVQXZX6RNBNMJ

not attested not anchored not stored refs pending

Random knotting in very long off-lattice self-avoiding polygons

Clayton Shonkwiler, Erica Uehara, Henrik Schumacher, Jason Cantarella, Tetsuo Deguchi

arxiv:2601.04102 v1 · 2026-01-07 · cond-mat.stat-mech · math.GT · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FSWFRGNY3U22TQVQXZX6RNBNMJ}

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	2026-05-20T00:02:08.232025Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2cac5899b8dd35a9c2b0be6fe8b42d6252730662b99d80c9ef849b3e8d0979bb

Aliases

arxiv: 2601.04102 · arxiv_version: 2601.04102v1 · doi: 10.48550/arxiv.2601.04102 · pith_short_12: FSWFRGNY3U22 · pith_short_16: FSWFRGNY3U22TQVQ · pith_short_8: FSWFRGNY

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/FSWFRGNY3U22TQVQXZX6RNBNMJ \
  | 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: 2cac5899b8dd35a9c2b0be6fe8b42d6252730662b99d80c9ef849b3e8d0979bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ebea75a0b7f7570556721c005c54521d0099e430fb2b5267a1ccc3d63706acf",
    "cross_cats_sorted": [
      "math.GT",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2026-01-07T17:07:12Z",
    "title_canon_sha256": "7ead6731e3f78cfe77c9e0ce90b90b8fe218b10cf6b1c07a62813bcb2af91402"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.04102",
    "kind": "arxiv",
    "version": 1
  }
}