Pith Number

pith:3ICGWCA4

pith:2016:3ICGWCA4M5FR7UJZU55IMESNXI

not attested not anchored not stored refs pending

Some bounds on the number of colors in interval and cyclic interval edge colorings of graphs

Carl Johan Casselgren, Hrant H. Khachatrian, Petros A. Petrosyan

arxiv:1611.07011 v1 · 2016-11-21 · 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{3ICGWCA4M5FR7UJZU55IMESNXI}

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	2026-05-18T00:57:32.360667Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da046b081c674b1fd139a77a86124dba29699f1b0541167d5859a03fe1be8c6b

Aliases

arxiv: 1611.07011 · arxiv_version: 1611.07011v1 · doi: 10.48550/arxiv.1611.07011 · pith_short_12: 3ICGWCA4M5FR · pith_short_16: 3ICGWCA4M5FR7UJZ · pith_short_8: 3ICGWCA4

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/3ICGWCA4M5FR7UJZU55IMESNXI \
  | 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: da046b081c674b1fd139a77a86124dba29699f1b0541167d5859a03fe1be8c6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2bcba5e2bde1ce56356d24d81f737f609090f5892a7c0b396ef52b6fec46d416",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-11-21T20:57:09Z",
    "title_canon_sha256": "9ae509ca9418dadf174d64a766006658cea144be9dc89008c637f5011b23412f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.07011",
    "kind": "arxiv",
    "version": 1
  }
}