Pith Number

pith:VEBTRRZE

pith:2010:VEBTRRZEQCTVOMEFKFV4NJ4VXK

not attested not anchored not stored refs pending

Identifying Frobenius elements in Galois groups

Tim Dokchitser, Vladimir Dokchitser

arxiv:1009.5388 v2 · 2010-09-27 · 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{VEBTRRZEQCTVOMEFKFV4NJ4VXK}

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	2026-05-18T04:23:35.081355Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a90338c72480a7573085516bc6a795ba81b662295b05cb530338da067f670643

Aliases

arxiv: 1009.5388 · arxiv_version: 1009.5388v2 · doi: 10.48550/arxiv.1009.5388 · pith_short_12: VEBTRRZEQCTV · pith_short_16: VEBTRRZEQCTVOMEF · pith_short_8: VEBTRRZE

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/VEBTRRZEQCTVOMEFKFV4NJ4VXK \
  | 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: a90338c72480a7573085516bc6a795ba81b662295b05cb530338da067f670643

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d93fe08f7cb3912c1038a885c768671fd301461cf553527d0361b29363a744c7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-09-27T20:14:12Z",
    "title_canon_sha256": "f9a326ae7a856ea6a090fb013f827791404a6027cc9eb97d090b872c5a8b6f29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.5388",
    "kind": "arxiv",
    "version": 2
  }
}