Pith Number

pith:UU5FFIPY

pith:2011:UU5FFIPYHVMMIZFO6S4SY27VNT

not attested not anchored not stored refs pending

Lower bounds on the obstacle number of graphs

D\"om\"ot\"or P\'alv\"olgyi, J\'anos Pach, Padmini Mukkamala

arxiv:1103.2724 v1 · 2011-03-14 · math.CO · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UU5FFIPYHVMMIZFO6S4SY27VNT}

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	2026-05-18T04:26:54.301821Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a53a52a1f83d58c464aef4b92c6bf56cc6f80231a5bf0c83e72db61d68418e31

Aliases

arxiv: 1103.2724 · arxiv_version: 1103.2724v1 · doi: 10.48550/arxiv.1103.2724 · pith_short_12: UU5FFIPYHVMM · pith_short_16: UU5FFIPYHVMMIZFO · pith_short_8: UU5FFIPY

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/UU5FFIPYHVMMIZFO6S4SY27VNT \
  | 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: a53a52a1f83d58c464aef4b92c6bf56cc6f80231a5bf0c83e72db61d68418e31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "271e6aa408f8e2296521335ef7f551c14d0825af806a0ea699c0aa43c362e81b",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-03-14T17:41:03Z",
    "title_canon_sha256": "d0c33094fa2594bf5a6506004844b5d1fc248d8fb4754d29e511dc51452e3128"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.2724",
    "kind": "arxiv",
    "version": 1
  }
}