Pith Number

pith:IG7IPTSP

pith:2015:IG7IPTSPPKNZE2RLLRX3HTSVLP

not attested not anchored not stored refs pending

On some extensions of the Ailon-Rudnick Theorem

Alina Ostafe

arxiv:1505.03957 v3 · 2015-05-15 · 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{IG7IPTSPPKNZE2RLLRX3HTSVLP}

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	2026-05-18T01:36:58.005780Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41be87ce4f7a9b926a2b5c6fb3ce555bd1578513e3add6a3877e53d8522bce9b

Aliases

arxiv: 1505.03957 · arxiv_version: 1505.03957v3 · doi: 10.48550/arxiv.1505.03957 · pith_short_12: IG7IPTSPPKNZ · pith_short_16: IG7IPTSPPKNZE2RL · pith_short_8: IG7IPTSP

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/IG7IPTSPPKNZE2RLLRX3HTSVLP \
  | 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: 41be87ce4f7a9b926a2b5c6fb3ce555bd1578513e3add6a3877e53d8522bce9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fc3674669a5f1d3aa4a36e45023da2c13e6389dad8a3ba6aebe0df9aa788d17",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-05-15T04:30:20Z",
    "title_canon_sha256": "ee4dd030b6d402ac5f23ceef98d2c0cfc315aa077295c2344183fbe675b83bcb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.03957",
    "kind": "arxiv",
    "version": 3
  }
}