Pith Number

pith:TNMXQLEV

pith:2015:TNMXQLEVDGS76BSETJ5J3R6JDW

not attested not anchored not stored refs pending

Distance preserving graphs and graph products

Bruce E. Sagan, Emad Zahedi, M. H. Khalifeh

arxiv:1507.04800 v4 · 2015-07-16 · 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{TNMXQLEVDGS76BSETJ5J3R6JDW}

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	2026-05-18T01:27:00.128086Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b59782c9519a5ff06449a7a9dc7c91db7386f91c4ba0797e87fefdd6f7e2668

Aliases

arxiv: 1507.04800 · arxiv_version: 1507.04800v4 · doi: 10.48550/arxiv.1507.04800 · pith_short_12: TNMXQLEVDGS7 · pith_short_16: TNMXQLEVDGS76BSE · pith_short_8: TNMXQLEV

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/TNMXQLEVDGS76BSETJ5J3R6JDW \
  | 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: 9b59782c9519a5ff06449a7a9dc7c91db7386f91c4ba0797e87fefdd6f7e2668

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25f1963f2dd7ed8b1115a4a772b71507662dd67d59b8a36f51bb78ef52b3ef69",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-07-16T23:41:36Z",
    "title_canon_sha256": "a17211465bb854b2b3340554047c758cd6209da02a4473a1db7163d141c807e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.04800",
    "kind": "arxiv",
    "version": 4
  }
}