Pith Number

pith:K7ETVLKS

pith:2024:K7ETVLKSHAPBLBIPYFZ5YBQWH6

not attested not anchored not stored refs pending

On a question of Erd\H{o}s and Ne\v{s}et\v{r}il about minimal cuts in a graph

Domagoj Brada\v{c}

arxiv:2409.02974 v2 · 2024-09-04 · 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{K7ETVLKSHAPBLBIPYFZ5YBQWH6}

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	2026-06-24T01:14:55.705788Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57c93aad52381e15850fc173dc06163f98e4ad1713722e013b9faf6b6d4e6757

Aliases

arxiv: 2409.02974 · arxiv_version: 2409.02974v2 · doi: 10.48550/arxiv.2409.02974 · pith_short_12: K7ETVLKSHAPB · pith_short_16: K7ETVLKSHAPBLBIP · pith_short_8: K7ETVLKS

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/K7ETVLKSHAPBLBIPYFZ5YBQWH6 \
  | 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: 57c93aad52381e15850fc173dc06163f98e4ad1713722e013b9faf6b6d4e6757

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eff6d18f8a48a4922830420e4f88c1ea7d838149c4309173bf2e2d86c71a991b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-09-04T12:19:53Z",
    "title_canon_sha256": "a4e09b6cdea247709ef71d3757890e5976b938b2ada2625b5bf2366833c08ea9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.02974",
    "kind": "arxiv",
    "version": 2
  }
}