Pith Number

pith:MN7EPL2C

pith:2015:MN7EPL2CK6UNYAVHGR3OL4VVYJ

not attested not anchored not stored refs pending

A Note on the Gutman Index of Jaco Graphs

Johan Kok, Sunny Joseph Kalayathankal, Susanth C

arxiv:1502.07093 v2 · 2015-02-25 · 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{MN7EPL2CK6UNYAVHGR3OL4VVYJ}

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	2026-05-18T01:26:10.597654Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

637e47af4257a8dc02a73476e5f2b5c27591d87d1159c6f15b6caa4cb3e7f39e

Aliases

arxiv: 1502.07093 · arxiv_version: 1502.07093v2 · doi: 10.48550/arxiv.1502.07093 · pith_short_12: MN7EPL2CK6UN · pith_short_16: MN7EPL2CK6UNYAVH · pith_short_8: MN7EPL2C

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/MN7EPL2CK6UNYAVHGR3OL4VVYJ \
  | 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: 637e47af4257a8dc02a73476e5f2b5c27591d87d1159c6f15b6caa4cb3e7f39e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15d828b4ad60337e49e63c4ef3cc1b2e378b7cae244a593a19feba636e06f2a1",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-02-25T09:26:36Z",
    "title_canon_sha256": "0dd35eb3637435393d8f82797b8f5d7a5cf63f301f20f29ba1bf41cfe112126d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.07093",
    "kind": "arxiv",
    "version": 2
  }
}