Pith Number

pith:XP6IGZSW

pith:2015:XP6IGZSWDFSBUC6UAH3QMBIGXT

not attested not anchored not stored refs pending

Optimal induced universal graphs and adjacency labeling for trees

Mathias B{\ae}k Tejs Knudsen, S{\o}ren Dahlgaard, Stephen Alstrup

arxiv:1504.02306 v2 · 2015-04-09 · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XP6IGZSWDFSBUC6UAH3QMBIGXT}

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	2026-05-18T01:20:46.649165Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbfc83665619641a0bd401f7060506bce12c6c1fd78e3c256474363fa3b486d7

Aliases

arxiv: 1504.02306 · arxiv_version: 1504.02306v2 · doi: 10.48550/arxiv.1504.02306 · pith_short_12: XP6IGZSWDFSB · pith_short_16: XP6IGZSWDFSBUC6U · pith_short_8: XP6IGZSW

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/XP6IGZSWDFSBUC6UAH3QMBIGXT \
  | 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: bbfc83665619641a0bd401f7060506bce12c6c1fd78e3c256474363fa3b486d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c0e6ecfd634270bc34fe7bc498ac12ce22829a9690fa1c0767ef3c5dd085f0b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2015-04-09T13:34:53Z",
    "title_canon_sha256": "66731523672f19517ba7f6991c1db580fd858e5d90dbe53388249d5f5e7597c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.02306",
    "kind": "arxiv",
    "version": 2
  }
}