Pith Number

pith:MMNLTOIE

pith:2018:MMNLTOIEQACUXTGEOHJYV7SBNA

not attested not anchored not stored refs pending

A note on groups definable in the p-adic field

Anand Pillay, Ningyuan Yao

arxiv:1807.09079 v1 · 2018-07-24 · math.LO · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MMNLTOIEQACUXTGEOHJYV7SBNA}

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	2026-05-18T00:09:56.827392Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

631ab9b90480054bccc471d38afe41680ca30af528e3ce34182fb4435772b1eb

Aliases

arxiv: 1807.09079 · arxiv_version: 1807.09079v1 · doi: 10.48550/arxiv.1807.09079 · pith_short_12: MMNLTOIEQACU · pith_short_16: MMNLTOIEQACUXTGE · pith_short_8: MMNLTOIE

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/MMNLTOIEQACUXTGEOHJYV7SBNA \
  | 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: 631ab9b90480054bccc471d38afe41680ca30af528e3ce34182fb4435772b1eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5d27c0bbffbb8c4a250ae0debd0f31ba50eb9516d41425869d7b4e1f4a94aab",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2018-07-24T13:06:40Z",
    "title_canon_sha256": "ba8dbaee385eb624efbc70a708656b7f355d01690d9536cfb5ec42dc1c90f03a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.09079",
    "kind": "arxiv",
    "version": 1
  }
}