Pith Number

pith:SCB6I5NM

pith:2009:SCB6I5NMFVTHQXH4IJQMX7PZ7T

not attested not anchored not stored refs pending

Multi-variable translation equation which arises from homothety

Giedrius Alkauskas

arxiv:0911.1513 v3 · 2009-11-08 · math.CA · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SCB6I5NMFVTHQXH4IJQMX7PZ7T}

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	2026-05-18T04:18:23.686972Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9083e475ac2d66785cfc4260cbfdf9fcd650031ab79ec586cfad2af132bacc6d

Aliases

arxiv: 0911.1513 · arxiv_version: 0911.1513v3 · doi: 10.48550/arxiv.0911.1513 · pith_short_12: SCB6I5NMFVTH · pith_short_16: SCB6I5NMFVTHQXH4 · pith_short_8: SCB6I5NM

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/SCB6I5NMFVTHQXH4IJQMX7PZ7T \
  | 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: 9083e475ac2d66785cfc4260cbfdf9fcd650031ab79ec586cfad2af132bacc6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a18092cc0532d348825ac345971bd906976d52f0c878bcc93df7165971982af4",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2009-11-08T10:50:18Z",
    "title_canon_sha256": "a66b262dc6214e0700af53306b6d78568886c55352ce635b0f6e6629bf66553f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.1513",
    "kind": "arxiv",
    "version": 3
  }
}