Pith Number

pith:U4ECIUOK

pith:2011:U4ECIUOKPOXV3UGHVZT2ZNXTSW

not attested not anchored not stored refs pending

Minimum diameter and cycle-diameter orientations on planar graphs

Nili Guttmann-Beck, Refael Hassin

arxiv:1105.4770 v1 · 2011-05-24 · cs.DM · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U4ECIUOKPOXV3UGHVZT2ZNXTSW}

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	2026-05-18T04:21:21.823666Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7082451ca7baf5dd0c7ae67acb6f395bb18a9be6730735393837e7539c66066

Aliases

arxiv: 1105.4770 · arxiv_version: 1105.4770v1 · doi: 10.48550/arxiv.1105.4770 · pith_short_12: U4ECIUOKPOXV · pith_short_16: U4ECIUOKPOXV3UGH · pith_short_8: U4ECIUOK

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/U4ECIUOKPOXV3UGHVZT2ZNXTSW \
  | 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: a7082451ca7baf5dd0c7ae67acb6f395bb18a9be6730735393837e7539c66066

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28e9e00283188e63e0aa889c01e1fc0a7e0d3074efed12729dda2f63eb9f9ef7",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2011-05-24T14:04:00Z",
    "title_canon_sha256": "cccb5da9953a9a83426e3818b39c4ffae58f233b833bf0419f3e0d2b30e45525"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.4770",
    "kind": "arxiv",
    "version": 1
  }
}