Pith Number

pith:XA4CEGHN

pith:2017:XA4CEGHN44S25BSYM4QRXRO4OC

not attested not anchored not stored refs pending

Automorphism groups over Hilbertian fields

Elad Paran, Fran\c{c}ois Legrand

arxiv:1705.02606 v3 · 2017-05-07 · 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{XA4CEGHN44S25BSYM4QRXRO4OC}

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	2026-05-18T00:27:52.562775Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8382218ede725ae865867211bc5dc70bd7e38e0027fbcdeef27333dedcd301a

Aliases

arxiv: 1705.02606 · arxiv_version: 1705.02606v3 · doi: 10.48550/arxiv.1705.02606 · pith_short_12: XA4CEGHN44S2 · pith_short_16: XA4CEGHN44S25BSY · pith_short_8: XA4CEGHN

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/XA4CEGHN44S25BSYM4QRXRO4OC \
  | 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: b8382218ede725ae865867211bc5dc70bd7e38e0027fbcdeef27333dedcd301a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e06e84dd34058c6fa19e11fe5fe45de0995802923ff25e988359aef8982b80cf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-05-07T12:35:23Z",
    "title_canon_sha256": "89b7e9caa14f000038c84212d4ded84f439820a9f30cef8a51c944962424a0d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.02606",
    "kind": "arxiv",
    "version": 3
  }
}