Pith Number

pith:5Q7KPKQF

pith:2016:5Q7KPKQFYXN5DOOXU4BBYAHJMG

not attested not anchored not stored refs pending

Planar posets have dimension at most linear in their height

Gwena\"el Joret, Piotr Micek, Veit Wiechert

arxiv:1612.07540 v2 · 2016-12-22 · 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{5Q7KPKQFYXN5DOOXU4BBYAHJMG}

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	2026-05-18T00:26:18.419691Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec3ea7aa05c5dbd1b9d7a7021c00e9618278d643268664dbfc90eb5e4036ba46

Aliases

arxiv: 1612.07540 · arxiv_version: 1612.07540v2 · doi: 10.48550/arxiv.1612.07540 · pith_short_12: 5Q7KPKQFYXN5 · pith_short_16: 5Q7KPKQFYXN5DOOX · pith_short_8: 5Q7KPKQF

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/5Q7KPKQFYXN5DOOXU4BBYAHJMG \
  | 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: ec3ea7aa05c5dbd1b9d7a7021c00e9618278d643268664dbfc90eb5e4036ba46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7eea9d5f9ca45a81340bcf15f00984adfee215d5033d9096533cd3bb35e9b928",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-12-22T10:53:32Z",
    "title_canon_sha256": "5ed89dda026f74cbbe4c6f5d50057a61d9b66b36ed33661897e9f763842e56f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.07540",
    "kind": "arxiv",
    "version": 2
  }
}