Pith Number

pith:UMNGSKVA

pith:2016:UMNGSKVA6W7LNZGBBT5DYNAS7V

not attested not anchored not stored refs pending

Hadwiger's conjecture: finite vs infinite graphs

Dominic van der Zypen

arxiv:1609.03556 v2 · 2016-09-11 · 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{UMNGSKVA6W7LNZGBBT5DYNAS7V}

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	2026-05-18T01:03:32.239729Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a31a692aa0f5beb6e4c10cfa3c3412fd5ef55541949ad76691d9a45456b55775

Aliases

arxiv: 1609.03556 · arxiv_version: 1609.03556v2 · doi: 10.48550/arxiv.1609.03556 · pith_short_12: UMNGSKVA6W7L · pith_short_16: UMNGSKVA6W7LNZGB · pith_short_8: UMNGSKVA

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/UMNGSKVA6W7LNZGBBT5DYNAS7V \
  | 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: a31a692aa0f5beb6e4c10cfa3c3412fd5ef55541949ad76691d9a45456b55775

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8392e8781f11a42c6d098077f74a91a8f90d34343ef28736b6001926b32af3a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-09-11T18:29:09Z",
    "title_canon_sha256": "ce3097c0f06fd6ffa69deecd360ba8005bdc249956312cf58aff8b1f8e06921e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.03556",
    "kind": "arxiv",
    "version": 2
  }
}