Pith Number

pith:PTBNAMHK

pith:2018:PTBNAMHKMUCYSS7Y567YNJXQCS

not attested not anchored not stored refs pending

Note on the group edge irregularity strength of graphs

Marcin Anholcer, Sylwia Cichacz

arxiv:1808.10018 v1 · 2018-08-29 · 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{PTBNAMHKMUCYSS7Y567YNJXQCS}

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	2026-05-18T00:06:50.125068Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cc2d030ea6505894bf8efbf86a6f0148ca1cb4e4ba61d35b35fce92f493560e

Aliases

arxiv: 1808.10018 · arxiv_version: 1808.10018v1 · doi: 10.48550/arxiv.1808.10018 · pith_short_12: PTBNAMHKMUCY · pith_short_16: PTBNAMHKMUCYSS7Y · pith_short_8: PTBNAMHK

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/PTBNAMHKMUCYSS7Y567YNJXQCS \
  | 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: 7cc2d030ea6505894bf8efbf86a6f0148ca1cb4e4ba61d35b35fce92f493560e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24496da4e0b4ed57497871817f932ad975516fbc50ba8684479e884c4be74753",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-08-29T19:30:48Z",
    "title_canon_sha256": "c94689cf750627e3a8dae7e165b2a2a1e32b1de9b4abe3ace59b01553b47d771"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.10018",
    "kind": "arxiv",
    "version": 1
  }
}