Pith Number

pith:VAVR6IP5

pith:2014:VAVR6IP5JJHU7MZMG3UI46VALY

not attested not anchored not stored refs pending

Ionescu's theorem for higher rank graphs

Adam Morgan, John Quigg, S. Kaliszewski

arxiv:1405.5922 v3 · 2014-05-22 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VAVR6IP5JJHU7MZMG3UI46VALY}

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	2026-05-18T01:25:18.505181Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a82b1f21fd4a4f4fb32c36e88e7aa05e0ae114eb87de5a4d7e5fb333fe1e5cae

Aliases

arxiv: 1405.5922 · arxiv_version: 1405.5922v3 · doi: 10.48550/arxiv.1405.5922 · pith_short_12: VAVR6IP5JJHU · pith_short_16: VAVR6IP5JJHU7MZM · pith_short_8: VAVR6IP5

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/VAVR6IP5JJHU7MZMG3UI46VALY \
  | 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: a82b1f21fd4a4f4fb32c36e88e7aa05e0ae114eb87de5a4d7e5fb333fe1e5cae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1b2ff3151dff401c5e4e6248d857a2e184abd97fbad790be5c2de7c8f374095",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2014-05-22T22:12:02Z",
    "title_canon_sha256": "caeaa48e6b31d4bf63c9dbc1077e4079236a3e47d0dbe9c182cdd09b74bfdb2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.5922",
    "kind": "arxiv",
    "version": 3
  }
}