Pith Number

pith:VJM66YNG

pith:2016:VJM66YNGL2PBU3XNWWQ27Z6OC6

not attested not anchored not stored refs pending

On the decomposition threshold of a given graph

Allan Lo, Daniela K\"uhn, Deryk Osthus, Richard Montgomery, Stefan Glock

arxiv:1603.04724 v2 · 2016-03-15 · 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{VJM66YNGL2PBU3XNWWQ27Z6OC6}

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	2026-05-17T23:51:26.323883Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa59ef61a65e9e1a6eedb5a1afe7ce1788ef6bb46e8d997467a0ecd40d8c95d2

Aliases

arxiv: 1603.04724 · arxiv_version: 1603.04724v2 · doi: 10.48550/arxiv.1603.04724 · pith_short_12: VJM66YNGL2PB · pith_short_16: VJM66YNGL2PBU3XN · pith_short_8: VJM66YNG

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/VJM66YNGL2PBU3XNWWQ27Z6OC6 \
  | 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: aa59ef61a65e9e1a6eedb5a1afe7ce1788ef6bb46e8d997467a0ecd40d8c95d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "edf92289014977e4348a415e71f1e7e38de7f77b3a1ad5abc97532e321a6d906",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-03-15T15:47:18Z",
    "title_canon_sha256": "2cdfe35f68570a0a2618899f7cf3cb25d907f16fa1a7905b25a5f340d14ca1ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.04724",
    "kind": "arxiv",
    "version": 2
  }
}