Pith Number

pith:TWQHIDPR

pith:2016:TWQHIDPRSK7KUX4JGOOMJZPPY4

not attested not anchored not stored refs pending

Planar triangulations, bridgeless planar maps and Tamari intervals

Wenjie Fang

arxiv:1611.07922 v3 · 2016-11-23 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TWQHIDPRSK7KUX4JGOOMJZPPY4}

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	2026-05-18T00:26:08.524432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9da0740df192beaa5f89339cc4e5efc704c58e62245240fe38235d0b2984755e

Aliases

arxiv: 1611.07922 · arxiv_version: 1611.07922v3 · doi: 10.48550/arxiv.1611.07922 · pith_short_12: TWQHIDPRSK7K · pith_short_16: TWQHIDPRSK7KUX4J · pith_short_8: TWQHIDPR

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/TWQHIDPRSK7KUX4JGOOMJZPPY4 \
  | 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: 9da0740df192beaa5f89339cc4e5efc704c58e62245240fe38235d0b2984755e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76f6fb97c7ae25ea91a0224daf63fa44852f7601afbd6edf587b6ae6a5667efa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-11-23T18:40:46Z",
    "title_canon_sha256": "456f463de1bc89bf5a920926c418b81928112ce4b1f3232420e49622eceeac55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.07922",
    "kind": "arxiv",
    "version": 3
  }
}