Pith Number

pith:E232VXYL

pith:2011:E232VXYLS4V247N74556PCEK7Q

not attested not anchored not stored refs pending

Properties of proper rational numbers

Konstantine Zelator

arxiv:1109.6820 v1 · 2011-09-29 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E232VXYLS4V247N74556PCEK7Q}

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	2026-05-18T04:11:52.476239Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26b7aadf0b972bae7dbfe77be7888afc0395b40007e583844313022041af8ed6

Aliases

arxiv: 1109.6820 · arxiv_version: 1109.6820v1 · doi: 10.48550/arxiv.1109.6820 · pith_short_12: E232VXYLS4V2 · pith_short_16: E232VXYLS4V247N7 · pith_short_8: E232VXYL

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/E232VXYLS4V247N74556PCEK7Q \
  | 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: 26b7aadf0b972bae7dbfe77be7888afc0395b40007e583844313022041af8ed6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab405897560a91080cec449b54222125f5b748a399026d776984b45cb8db6ffc",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2011-09-29T18:19:29Z",
    "title_canon_sha256": "794d159e953835430dfd734be754b5364c5690f7025257ddcf3c660a9836a053"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.6820",
    "kind": "arxiv",
    "version": 1
  }
}