Pith Number

pith:7PAZ7NZU

pith:2015:7PAZ7NZUQB7AKXUOSXQ5JKZIWB

not attested not anchored not stored refs pending

Cacti and cells

Ivan Losev

arxiv:1506.04400 v1 · 2015-06-14 · math.RT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7PAZ7NZUQB7AKXUOSXQ5JKZIWB}

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	2026-05-18T01:49:54.651337Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbc19fb734807e055e8e95e1d4ab28b04f693164f37372ffba556e647ebe8eaa

Aliases

arxiv: 1506.04400 · arxiv_version: 1506.04400v1 · doi: 10.48550/arxiv.1506.04400 · pith_short_12: 7PAZ7NZUQB7A · pith_short_16: 7PAZ7NZUQB7AKXUO · pith_short_8: 7PAZ7NZU

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/7PAZ7NZUQB7AKXUOSXQ5JKZIWB \
  | 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: fbc19fb734807e055e8e95e1d4ab28b04f693164f37372ffba556e647ebe8eaa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70811109933d7b3c28cfec7461eed7d3eae835d3cafc7c9d976b0a4239a36f9d",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-06-14T13:53:56Z",
    "title_canon_sha256": "c7338aafd54dbb07194fe9036e1e777d0e112330e5d51f4126575aa46b113b5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.04400",
    "kind": "arxiv",
    "version": 1
  }
}