Pith Number

pith:WUHTSYBP

pith:2012:WUHTSYBPRN4KY65YYKNPMTLL2F

not attested not anchored not stored refs pending

Topological effects in the thermal properties of knotted polymer rings

Franco Ferrari, Yani Zhao

arxiv:1209.1717 v2 · 2012-09-08 · cond-mat.soft

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WUHTSYBPRN4KY65YYKNPMTLL2F}

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	2026-05-18T01:54:38.253763Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b50f39602f8b78ac7bb8c29af64d6bd149d8d87bd85352f64e3fc66a461be340

Aliases

arxiv: 1209.1717 · arxiv_version: 1209.1717v2 · doi: 10.48550/arxiv.1209.1717 · pith_short_12: WUHTSYBPRN4K · pith_short_16: WUHTSYBPRN4KY65Y · pith_short_8: WUHTSYBP

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/WUHTSYBPRN4KY65YYKNPMTLL2F \
  | 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: b50f39602f8b78ac7bb8c29af64d6bd149d8d87bd85352f64e3fc66a461be340

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4c6676c37bed80a2498b58cf2bd65e6ee8e3d859619bd41497d7daff607c2ed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.soft",
    "submitted_at": "2012-09-08T13:28:50Z",
    "title_canon_sha256": "87887f44a16772674a2b3ce5ab5a1b466518fac87f314c387d828ba74cfea568"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1717",
    "kind": "arxiv",
    "version": 2
  }
}