Pith Number

pith:PFYQ4G6A

pith:2011:PFYQ4G6ADYLZC2MOV5JMSRO4VC

not attested not anchored not stored refs pending

Perfect powers in elliptic divisibility sequences

Jonathan Reynolds

arxiv:1101.2949 v2 · 2011-01-15 · 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{PFYQ4G6ADYLZC2MOV5JMSRO4VC}

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	2026-05-18T04:31:21.983601Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79710e1bc01e1791698eaf52c945dca8bd56611ee722c5ffb3c94bf32d299276

Aliases

arxiv: 1101.2949 · arxiv_version: 1101.2949v2 · doi: 10.48550/arxiv.1101.2949 · pith_short_12: PFYQ4G6ADYLZ · pith_short_16: PFYQ4G6ADYLZC2MO · pith_short_8: PFYQ4G6A

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/PFYQ4G6ADYLZC2MOV5JMSRO4VC \
  | 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: 79710e1bc01e1791698eaf52c945dca8bd56611ee722c5ffb3c94bf32d299276

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2cdfb11cebdf3c8d7f7b86881c9abe61c93c4ef91ee590eae4fd588f5ae7dcb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-01-15T07:23:29Z",
    "title_canon_sha256": "6d4770c0bbf73a9e7203bcc81b82afc7c7b6a97bd492181439e97edf90641b97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.2949",
    "kind": "arxiv",
    "version": 2
  }
}