Pith Number

pith:LCSZ72PT

pith:2018:LCSZ72PTSFCZ6HUMRATVC5ZW75

not attested not anchored not stored refs pending

Few $T$ copies in $H$-saturated graphs

Abhishek Methuku, Craig Timmons, J\"urgen Kritschgau, Michael Tait

arxiv:1810.00939 v2 · 2018-10-01 · 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{LCSZ72PTSFCZ6HUMRATVC5ZW75}

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	2026-05-18T00:03:24.049066Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58a59fe9f391459f1e8c8827517736ff5f5e22090e4e360808781bf01307b705

Aliases

arxiv: 1810.00939 · arxiv_version: 1810.00939v2 · doi: 10.48550/arxiv.1810.00939 · pith_short_12: LCSZ72PTSFCZ · pith_short_16: LCSZ72PTSFCZ6HUM · pith_short_8: LCSZ72PT

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/LCSZ72PTSFCZ6HUMRATVC5ZW75 \
  | 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: 58a59fe9f391459f1e8c8827517736ff5f5e22090e4e360808781bf01307b705

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f15fbbdcefd3c2e1ed5b8a829fa04e8b44c00845f51d317a9273f9ba327aa59c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-10-01T19:52:37Z",
    "title_canon_sha256": "99ab32b26994a73dfff04b78ac7c9dc5b466f3da060ccffd9b0ffd8052c418ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.00939",
    "kind": "arxiv",
    "version": 2
  }
}