Pith Number

pith:VAULDJNC

pith:2010:VAULDJNCMF7UYYPCRV3IFUTLDE

not attested not anchored not stored refs pending

Nonstandard braid relations and Chebyshev polynomials

Jonah Blasiak

arxiv:1010.0421 v2 · 2010-10-03 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VAULDJNCMF7UYYPCRV3IFUTLDE}

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	2026-05-18T02:51:48.819786Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a828b1a5a2617f4c61e28d7682d26b191e06dc126776ffe38df1bd5bdb86ce12

Aliases

arxiv: 1010.0421 · arxiv_version: 1010.0421v2 · doi: 10.48550/arxiv.1010.0421 · pith_short_12: VAULDJNCMF7U · pith_short_16: VAULDJNCMF7UYYPC · pith_short_8: VAULDJNC

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/VAULDJNCMF7UYYPCRV3IFUTLDE \
  | 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: a828b1a5a2617f4c61e28d7682d26b191e06dc126776ffe38df1bd5bdb86ce12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ef1836d9609bd42c27bf652dc06383221e11f8c1ee1786b4f9b5faf92bde9db",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2010-10-03T16:39:15Z",
    "title_canon_sha256": "53129733530a848d6f48975f321406e2158258e55ab25cf9549e2103d569305e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.0421",
    "kind": "arxiv",
    "version": 2
  }
}