Pith Number

pith:VHNUCTVP

pith:2011:VHNUCTVPVH3GE7DDSMA277X2NW

not attested not anchored not stored refs pending

An improved error term for minimum H-decompositions of graphs

Julia B\"ottcher, Peter Allen, Yury Person

arxiv:1109.2571 v1 · 2011-09-12 · 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{VHNUCTVPVH3GE7DDSMA277X2NW}

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	2026-05-18T04:13:37.362260Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9db414eafa9f6627c639301affefa6da691716bf27d9fa40d2f338d652637a2

Aliases

arxiv: 1109.2571 · arxiv_version: 1109.2571v1 · doi: 10.48550/arxiv.1109.2571 · pith_short_12: VHNUCTVPVH3G · pith_short_16: VHNUCTVPVH3GE7DD · pith_short_8: VHNUCTVP

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/VHNUCTVPVH3GE7DDSMA277X2NW \
  | 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: a9db414eafa9f6627c639301affefa6da691716bf27d9fa40d2f338d652637a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6e973f441fa1d9ede0626442927234e3f030b4cd89ed8afcf3a558dc57679c2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-09-12T19:07:55Z",
    "title_canon_sha256": "6132e9bdaff5371c5266ab488bb296c28fbd04ade87dc9bd14e34d3a69227447"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2571",
    "kind": "arxiv",
    "version": 1
  }
}