Pith Number

pith:U37QK254

pith:2019:U37QK254PHGMOPY3B3CEHAOMW5

not attested not anchored not stored refs pending

The shapes of Galois quartic fields

Piper H, Robert Harron

arxiv:1908.03969 v1 · 2019-08-11 · 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{U37QK254PHGMOPY3B3CEHAOMW5}

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	2026-07-04T23:53:19.693311Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6ff056bbc79ccc73f1b0ec44381ccb76c392faaff19238dc3fa70f312203dbc

Aliases

arxiv: 1908.03969 · arxiv_version: 1908.03969v1 · doi: 10.48550/arxiv.1908.03969 · pith_short_12: U37QK254PHGM · pith_short_16: U37QK254PHGMOPY3 · pith_short_8: U37QK254

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/U37QK254PHGMOPY3B3CEHAOMW5 \
  | 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: a6ff056bbc79ccc73f1b0ec44381ccb76c392faaff19238dc3fa70f312203dbc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01776da01face76a0f7431ebe30ac9579ee49ceeaad07d484777dd43dabb5a72",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-08-11T22:52:40Z",
    "title_canon_sha256": "e747f8241a53164b147678c1760d24184eaf691210e09fdd189f0534653b4b3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.03969",
    "kind": "arxiv",
    "version": 1
  }
}