Pith Number

pith:4TCS7EHE

pith:2017:4TCS7EHEUJ34UOJMGSKU6T5Z44

not attested not anchored not stored refs pending

A bandwidth theorem for approximate decompositions

Daniela K\"uhn, Deryk Osthus, Jaehoon Kim, Padraig Condon

arxiv:1712.04562 v2 · 2017-12-12 · 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{4TCS7EHEUJ34UOJMGSKU6T5Z44}

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	2026-05-18T00:01:15.230260Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4c52f90e4a277ca392c34954f4fb9e7338fe4223f9cd417d7046cf3a1112e29

Aliases

arxiv: 1712.04562 · arxiv_version: 1712.04562v2 · doi: 10.48550/arxiv.1712.04562 · pith_short_12: 4TCS7EHEUJ34 · pith_short_16: 4TCS7EHEUJ34UOJM · pith_short_8: 4TCS7EHE

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/4TCS7EHEUJ34UOJMGSKU6T5Z44 \
  | 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: e4c52f90e4a277ca392c34954f4fb9e7338fe4223f9cd417d7046cf3a1112e29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2ac57aae01112dd893032e965f2f5d81daaf04c3e57f57f4e4e86e180e7086d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-12-12T23:02:29Z",
    "title_canon_sha256": "2e10c553dff7d36a213cb1159f01d08e614e8f5e776120efd3c414485dd21307"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.04562",
    "kind": "arxiv",
    "version": 2
  }
}