Pith Number

pith:KL7RTH3S

pith:2010:KL7RTH3SF7RZPIDJFSJLG34PPK

not attested not anchored not stored refs pending

Interpolating between torsional rigidity and principal frequency

Jesse Ratzkin, Tom Carroll

arxiv:1003.0128 v1 · 2010-02-28 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KL7RTH3SF7RZPIDJFSJLG34PPK}

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	2026-05-18T01:21:39.932617Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52ff199f722fe397a0692c92b36f8f7aaa77ce150255e3722d2193285f1125cd

Aliases

arxiv: 1003.0128 · arxiv_version: 1003.0128v1 · doi: 10.48550/arxiv.1003.0128 · pith_short_12: KL7RTH3SF7RZ · pith_short_16: KL7RTH3SF7RZPIDJ · pith_short_8: KL7RTH3S

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/KL7RTH3SF7RZPIDJFSJLG34PPK \
  | 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: 52ff199f722fe397a0692c92b36f8f7aaa77ce150255e3722d2193285f1125cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d02b1fd856a85a4aaccf471e2244cd566f71398724b369bdb04258dd42b6a3d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-02-28T18:11:35Z",
    "title_canon_sha256": "fd7e28b26ba9d6fbdcb492583a48fea6ca1f6150623d1dc3470690dff985b390"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.0128",
    "kind": "arxiv",
    "version": 1
  }
}