Pith Number

pith:CE33ZWRA

pith:2015:CE33ZWRAB6FZ47T6SPNCGVNJRL

not attested not anchored not stored refs pending

On the distance spectra of graphs

Aida Abiad, Franklin H.J. Kenter, Ghodratollah Aalipour, Jay Cummings, Jephian C.-H. Lin, Jessica De Silva, Kristin Heysse, Leslie Hogben, Michael Tait, Wei Gao, Zhanar Berikkyzy

arxiv:1509.01196 v2 · 2015-09-03 · 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{CE33ZWRAB6FZ47T6SPNCGVNJRL}

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	2026-05-18T01:31:13.373476Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1137bcda200f8b9e7e7e93da2355a98aff0ee414ccb4dc2d5c64234cfbe7f036

Aliases

arxiv: 1509.01196 · arxiv_version: 1509.01196v2 · doi: 10.48550/arxiv.1509.01196 · pith_short_12: CE33ZWRAB6FZ · pith_short_16: CE33ZWRAB6FZ47T6 · pith_short_8: CE33ZWRA

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/CE33ZWRAB6FZ47T6SPNCGVNJRL \
  | 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: 1137bcda200f8b9e7e7e93da2355a98aff0ee414ccb4dc2d5c64234cfbe7f036

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a2fc56f3f8e3af856a83db38acc52d3c390d8abb4154ac27833630da08898b7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-09-03T18:24:17Z",
    "title_canon_sha256": "10caa361cf02f49bd832e729170b309bafc697bae43bdbc9f02dd27de7da7c8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.01196",
    "kind": "arxiv",
    "version": 2
  }
}