Pith Number

pith:EU2CRGEK

pith:2015:EU2CRGEKEN5TWQBC4DNRNEPSAD

not attested not anchored not stored refs pending

On one type of compactification of positive integers

Milan Pasteka

arxiv:1512.05694 v1 · 2015-12-17 · 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{EU2CRGEKEN5TWQBC4DNRNEPSAD}

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	2026-05-18T01:24:09.484440Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

253428988a237b3b4022e0db1691f200c13a1bfb42f9b28aaae8fecfe95ae02b

Aliases

arxiv: 1512.05694 · arxiv_version: 1512.05694v1 · doi: 10.48550/arxiv.1512.05694 · pith_short_12: EU2CRGEKEN5T · pith_short_16: EU2CRGEKEN5TWQBC · pith_short_8: EU2CRGEK

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/EU2CRGEKEN5TWQBC4DNRNEPSAD \
  | 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: 253428988a237b3b4022e0db1691f200c13a1bfb42f9b28aaae8fecfe95ae02b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91648345a3a21152ce4805d898676eb46eaa2a1ebdb969364eb281ad0e400e3a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-12-17T17:45:55Z",
    "title_canon_sha256": "a57e35e19feb41d7db9937376d9ab9fd60285b3c4d44575dabd57f6e52659499"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.05694",
    "kind": "arxiv",
    "version": 1
  }
}