Pith Number

pith:EGTX4EQJ

pith:2012:EGTX4EQJKCW3JGJNOLAHP6LKSO

not attested not anchored not stored refs pending

On the threshold-width of graphs

L. Hung, M. Chang, S. Peng, T. Kloks

arxiv:1210.8365 v1 · 2012-10-30 · math.CO · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EGTX4EQJKCW3JGJNOLAHP6LKSO}

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	2026-05-18T03:41:44.737763Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21a77e120950adb4992d72c077f96a939c3b1fe487aabd66f0eb92d62b442197

Aliases

arxiv: 1210.8365 · arxiv_version: 1210.8365v1 · doi: 10.48550/arxiv.1210.8365 · pith_short_12: EGTX4EQJKCW3 · pith_short_16: EGTX4EQJKCW3JGJN · pith_short_8: EGTX4EQJ

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/EGTX4EQJKCW3JGJNOLAHP6LKSO \
  | 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: 21a77e120950adb4992d72c077f96a939c3b1fe487aabd66f0eb92d62b442197

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ffb090bb7b100fcdb1ff152670233d7f0ed9a4b977c25d699496b51c4a519713",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-10-30T01:50:29Z",
    "title_canon_sha256": "558fd8151ba6c31e5a7c89a833ea1adfca1404b1c3cabf0f27e44e181b0eb1e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.8365",
    "kind": "arxiv",
    "version": 1
  }
}