Pith Number

pith:BUJISKZX

pith:2014:BUJISKZX7UX7KC55CWCTLZQE33

not attested not anchored not stored refs pending

Chebyshev polynomials and the Frohman-Gelca formula

Heather M. Russell, Hoel Queffelec

arxiv:1403.3716 v1 · 2014-03-14 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BUJISKZX7UX7KC55CWCTLZQE33}

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	2026-05-18T02:56:18.694479Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d12892b37fd2ff50bbd158535e604dec45f9939bd4db09f8f9ebefc73b829c3

Aliases

arxiv: 1403.3716 · arxiv_version: 1403.3716v1 · doi: 10.48550/arxiv.1403.3716 · pith_short_12: BUJISKZX7UX7 · pith_short_16: BUJISKZX7UX7KC55 · pith_short_8: BUJISKZX

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/BUJISKZX7UX7KC55CWCTLZQE33 \
  | 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: 0d12892b37fd2ff50bbd158535e604dec45f9939bd4db09f8f9ebefc73b829c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e17097a39162294519d23257404b6f3887ad8543c69bfa5fd3c0d78e187c2c83",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-03-14T22:08:36Z",
    "title_canon_sha256": "4e765d8dd4a854841c82661dc6a49c5fc286d5934fa762e087d672a7cd18a986"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.3716",
    "kind": "arxiv",
    "version": 1
  }
}