Pith Number

pith:IUZRWL7G

pith:2016:IUZRWL7G6S6FTELKS6CJDVTAWZ

not attested not anchored not stored refs pending

The Planar Tree Packing Theorem

Csaba D. T\'oth, Markus Geyer, Michael Hoffmann, Michael Kaufmann, Vincent Kusters

arxiv:1603.07737 v1 · 2016-03-24 · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IUZRWL7G6S6FTELKS6CJDVTAWZ}

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	2026-05-18T01:18:18.991850Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45331b2fe6f4bc59916a978491d660b66abd228a6db06f6991af9b5510a8ac66

Aliases

arxiv: 1603.07737 · arxiv_version: 1603.07737v1 · doi: 10.48550/arxiv.1603.07737 · pith_short_12: IUZRWL7G6S6F · pith_short_16: IUZRWL7G6S6FTELK · pith_short_8: IUZRWL7G

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/IUZRWL7G6S6FTELKS6CJDVTAWZ \
  | 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: 45331b2fe6f4bc59916a978491d660b66abd228a6db06f6991af9b5510a8ac66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b7607a963fc226a0b74e42377eb594f707d2976bdd714788ca3240c29daf7b2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2016-03-24T20:08:38Z",
    "title_canon_sha256": "0d131d6d9e806b17e3143f5ea154ca3082d8595a64629bccab1589f96992e5db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.07737",
    "kind": "arxiv",
    "version": 1
  }
}