Pith Number

pith:PLDXVXTS

pith:2022:PLDXVXTS7ZOX2IHILFL7UQ3NXK

not attested not anchored not stored refs pending

A study on edge coloring and edge sum coloring of integral sum graphs

Julia K. Abraham, L. Mary Florida, Lowell W. Beineke, V. Vilfred Kamalappan

arxiv:2203.00409 v1 · 2022-02-28 · 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{PLDXVXTS7ZOX2IHILFL7UQ3NXK}

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	2026-07-05T04:01:17.004300Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ac77ade72fe5d7d20e85957fa436dbabc79c70b219f2a794515d1afae38d37d

Aliases

arxiv: 2203.00409 · arxiv_version: 2203.00409v1 · doi: 10.48550/arxiv.2203.00409 · pith_short_12: PLDXVXTS7ZOX · pith_short_16: PLDXVXTS7ZOX2IHI · pith_short_8: PLDXVXTS

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/PLDXVXTS7ZOX2IHILFL7UQ3NXK \
  | 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: 7ac77ade72fe5d7d20e85957fa436dbabc79c70b219f2a794515d1afae38d37d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dfa3e360b98bd479886383dc503a654e0df6ddfc66c49c276074873c3a204324",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-02-28T07:50:32Z",
    "title_canon_sha256": "9d27b7f82fd61d3d4872765202c4b8fe5f96923d0ba48c636d93d5ba89be0f13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2203.00409",
    "kind": "arxiv",
    "version": 1
  }
}