Pith Number

pith:VBKH5JQW

pith:2009:VBKH5JQWB42DYRV3R4GLQLDZIT

not attested not anchored not stored refs pending

Row-finite equivalents exist only for row-countable graphs

Gene Abrams, Kulumani M. Rangaswamy

arxiv:0904.0183 v2 · 2009-04-01 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VBKH5JQWB42DYRV3R4GLQLDZIT}

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	2026-05-18T04:32:09.681453Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8547ea6160f343c46bb8f0cb82c7944ca4ebc84e7fa82d3d43b03376da60d30

Aliases

arxiv: 0904.0183 · arxiv_version: 0904.0183v2 · doi: 10.48550/arxiv.0904.0183 · pith_short_12: VBKH5JQWB42D · pith_short_16: VBKH5JQWB42DYRV3 · pith_short_8: VBKH5JQW

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/VBKH5JQWB42DYRV3R4GLQLDZIT \
  | 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: a8547ea6160f343c46bb8f0cb82c7944ca4ebc84e7fa82d3d43b03376da60d30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ef5b7c43c6d8bdfeaaa8440ba8bd9da7c374f033315550a5481aa89e1ae542a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2009-04-01T15:30:05Z",
    "title_canon_sha256": "deacc7bf3d1e769c93e694922710c7ccc0587931b4205ae310b6211b565a3e61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.0183",
    "kind": "arxiv",
    "version": 2
  }
}