Pith Number

pith:GHMPUGUV

pith:2026:GHMPUGUV6MO7FIZQ5KPMS46OBQ

not attested not anchored not stored refs pending

Distinguished defining polynomials for extensions of p-adic fields

David P. Roberts, David Roe, John W. Jones, Jordi Gu\`ardia i R\'ubies, Kevin Keating, Sebastian Pauli

arxiv:2606.01453 v1 · 2026-05-31 · 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{GHMPUGUV6MO7FIZQ5KPMS46OBQ}

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	2026-06-02T02:04:33.468938Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31d8fa1a95f31df2a330ea9ec973ce0c20c03e86b8ed86a8c3bd29c51d542d40

Aliases

arxiv: 2606.01453 · arxiv_version: 2606.01453v1 · doi: 10.48550/arxiv.2606.01453 · pith_short_12: GHMPUGUV6MO7 · pith_short_16: GHMPUGUV6MO7FIZQ · pith_short_8: GHMPUGUV

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/GHMPUGUV6MO7FIZQ5KPMS46OBQ \
  | 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: 31d8fa1a95f31df2a330ea9ec973ce0c20c03e86b8ed86a8c3bd29c51d542d40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7fdf5fc2e483f7e51090043a71e6414cfd639e2a66945a3474dd6b11601d641a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-05-31T21:17:49Z",
    "title_canon_sha256": "28dfa11089c334a9208bcdfb0c40680fe960b25fe6e601c66620860949b35e4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.01453",
    "kind": "arxiv",
    "version": 1
  }
}