Pith Number

pith:4S2T4R22

pith:2017:4S2T4R22MYIU4ZBM2OICOKDLFW

not attested not anchored not stored refs pending

Frobenius elements in Galois representations with SL_n image

Matthew Bisatt

arxiv:1706.03380 v1 · 2017-06-11 · 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{4S2T4R22MYIU4ZBM2OICOKDLFW}

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	2026-05-18T00:42:35.846961Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4b53e475a66114e642cd39027286b2d9b1a9be2f48d22f53a8292a30bef5dbf

Aliases

arxiv: 1706.03380 · arxiv_version: 1706.03380v1 · doi: 10.48550/arxiv.1706.03380 · pith_short_12: 4S2T4R22MYIU · pith_short_16: 4S2T4R22MYIU4ZBM · pith_short_8: 4S2T4R22

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/4S2T4R22MYIU4ZBM2OICOKDLFW \
  | 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: e4b53e475a66114e642cd39027286b2d9b1a9be2f48d22f53a8292a30bef5dbf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8a7b35f9bacea5b308001872ead3f7e916a8e899f303abaded2eacbbd152bbc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-06-11T17:19:14Z",
    "title_canon_sha256": "c3e06129509ab00e638741d6df594cdf201b742c17cfd0bcf0c586387cb269c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.03380",
    "kind": "arxiv",
    "version": 1
  }
}