Pith Number

pith:6QJKEZQ5

pith:2024:6QJKEZQ5SSSVGWGDSMUC7F4YKM

not attested not anchored not stored refs pending

On Spectral Graph Determination

Abraham Berman, Igal Sason, Noam Krupnik, Suleiman Hamud

arxiv:2412.20775 v6 · 2024-12-30 · 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{6QJKEZQ5SSSVGWGDSMUC7F4YKM}

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	2026-07-05T10:47:34.995903Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f412a2661d94a55358c393282f979853333319054b209beaa36a0c26353f18a4

Aliases

arxiv: 2412.20775 · arxiv_version: 2412.20775v6 · doi: 10.48550/arxiv.2412.20775 · pith_short_12: 6QJKEZQ5SSSV · pith_short_16: 6QJKEZQ5SSSVGWGD · pith_short_8: 6QJKEZQ5

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/6QJKEZQ5SSSVGWGDSMUC7F4YKM \
  | 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: f412a2661d94a55358c393282f979853333319054b209beaa36a0c26353f18a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a4174499e58a54dccd08db67a672fcc56bc08de83dbf3601d384f1261257f25",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-12-30T07:55:55Z",
    "title_canon_sha256": "a50a3eb8dc59d702ecd483d7e8de75c4e75cae960f8aa520cde97a44e59918ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.20775",
    "kind": "arxiv",
    "version": 6
  }
}