Pith Number

pith:52TXRPYO

pith:2011:52TXRPYOUQOC4NN2Z6WJYTYBPC

not attested not anchored not stored refs pending

An Ultrametric lethargy result and its application to p-adic number theory

J. M. Almira

arxiv:1110.1459 v3 · 2011-10-07 · 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{52TXRPYOUQOC4NN2Z6WJYTYBPC}

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	2026-05-18T04:05:58.964604Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eea778bf0ea41c2e35bacfac9c4f01788ca0dcf907444e40dc73611df95143dc

Aliases

arxiv: 1110.1459 · arxiv_version: 1110.1459v3 · doi: 10.48550/arxiv.1110.1459 · pith_short_12: 52TXRPYOUQOC · pith_short_16: 52TXRPYOUQOC4NN2 · pith_short_8: 52TXRPYO

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/52TXRPYOUQOC4NN2Z6WJYTYBPC \
  | 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: eea778bf0ea41c2e35bacfac9c4f01788ca0dcf907444e40dc73611df95143dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50adfe7b9f85a6f9985b640d2fe2624292e97c3d412dab0bd15fd88a4dc4914e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-10-07T09:02:37Z",
    "title_canon_sha256": "9565c5de4ef51be6b11f0baafc89e2ab68269be9cefb80ec2078f6eed78047ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.1459",
    "kind": "arxiv",
    "version": 3
  }
}