Pith Number

pith:7JZUSQ3H

pith:2022:7JZUSQ3HOKXL3D6UPDYFHZ5XEW

not attested not anchored not stored refs pending

Descriptive complexity of the generalized spectra of graphs

Aida Abiad, Anuj Dawar, Octavio Zapata

arxiv:2210.05482 v1 · 2022-10-11 · cs.LO · 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{7JZUSQ3HOKXL3D6UPDYFHZ5XEW}

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	2026-07-05T05:05:17.113562Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa7349436772aebd8fd478f053e7b72587a1cbde29d947308cb9b3abb20d41bb

Aliases

arxiv: 2210.05482 · arxiv_version: 2210.05482v1 · doi: 10.48550/arxiv.2210.05482 · pith_short_12: 7JZUSQ3HOKXL · pith_short_16: 7JZUSQ3HOKXL3D6U · pith_short_8: 7JZUSQ3H

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/7JZUSQ3HOKXL3D6UPDYFHZ5XEW \
  | 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: fa7349436772aebd8fd478f053e7b72587a1cbde29d947308cb9b3abb20d41bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a00435afb096a126f610791d0e4d9a8e08b7a91242d660ab98222475d02830b8",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2022-10-11T14:33:44Z",
    "title_canon_sha256": "7a8083a0fb4b37d08f19c951ca105a1c5392d6b567ee0f3cdea48bf30616099e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.05482",
    "kind": "arxiv",
    "version": 1
  }
}