Pith Number

pith:Q7FYINQY

pith:2012:Q7FYINQY66PLGDUTDA3ZUSJCL6

not attested not anchored not stored refs pending

Chebyshev Action on Finite Fields

T. Alden Gassert

arxiv:1209.4396 v3 · 2012-09-20 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q7FYINQY66PLGDUTDA3ZUSJCL6}

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	2026-05-18T03:08:14.508484Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87cb843618f79eb30e9318379a49225fb16ade55eb4aa13c6295ac08ee033621

Aliases

arxiv: 1209.4396 · arxiv_version: 1209.4396v3 · doi: 10.48550/arxiv.1209.4396 · pith_short_12: Q7FYINQY66PL · pith_short_16: Q7FYINQY66PLGDUT · pith_short_8: Q7FYINQY

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/Q7FYINQY66PLGDUTDA3ZUSJCL6 \
  | 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: 87cb843618f79eb30e9318379a49225fb16ade55eb4aa13c6295ac08ee033621

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1a829760fcfba343784c3d89b7b7be2cd8b9d411c7cac3a094872a0f970de6b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-09-20T00:18:30Z",
    "title_canon_sha256": "935a520d02b6a96316c6ce307ed926f9d9913c2b39b23eaf4c08f05007dc28ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4396",
    "kind": "arxiv",
    "version": 3
  }
}