Pith Number

pith:DOZ2RFQ7

pith:2019:DOZ2RFQ7MHQ3RC2RZJOSO2YDNC

not attested not anchored not stored refs pending

The Edge-connectivity of Token Graphs

J. Lea\~nos, M. K. Christophe Ndjatchi

arxiv:1909.06698 v1 · 2019-09-15 · 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{DOZ2RFQ7MHQ3RC2RZJOSO2YDNC}

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	2026-07-05T00:04:48.761533Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1bb3a8961f61e1b88b51ca5d276b03688e4e2de6442a3bc8e65f409c8df88e4d

Aliases

arxiv: 1909.06698 · arxiv_version: 1909.06698v1 · doi: 10.48550/arxiv.1909.06698 · pith_short_12: DOZ2RFQ7MHQ3 · pith_short_16: DOZ2RFQ7MHQ3RC2R · pith_short_8: DOZ2RFQ7

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/DOZ2RFQ7MHQ3RC2RZJOSO2YDNC \
  | 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: 1bb3a8961f61e1b88b51ca5d276b03688e4e2de6442a3bc8e65f409c8df88e4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54b50cdd36f5ad1cedbb2278aaf4739486abe819495873b073750b5c3ab84766",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-09-15T00:04:42Z",
    "title_canon_sha256": "f32af661675d0489ef0b2f3dd4b9b65422bfe08d370809f01c27a915ef0367c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.06698",
    "kind": "arxiv",
    "version": 1
  }
}