Pith Number

pith:4EATX7PJ

pith:2015:4EATX7PJJBAACGDQHZNOD6AAG3

not attested not anchored not stored refs pending

Bijections for planar maps with boundaries

\'Eric Fusy, Olivier Bernardi

arxiv:1510.05194 v3 · 2015-10-18 · 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{4EATX7PJJBAACGDQHZNOD6AAG3}

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	2026-05-18T00:28:02.920800Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1013bfde948400118703e5ae1f80036e3bca07c5838c78ac76db967a377c10e

Aliases

arxiv: 1510.05194 · arxiv_version: 1510.05194v3 · doi: 10.48550/arxiv.1510.05194 · pith_short_12: 4EATX7PJJBAA · pith_short_16: 4EATX7PJJBAACGDQ · pith_short_8: 4EATX7PJ

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/4EATX7PJJBAACGDQHZNOD6AAG3 \
  | 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: e1013bfde948400118703e5ae1f80036e3bca07c5838c78ac76db967a377c10e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b9b26208f6d8d7fc98a3d20791f52060e51d6781eb28234c0fce60f462ef190",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-10-18T03:02:53Z",
    "title_canon_sha256": "c142f20fefe8d3d819b9ae249b01744eaf989027cfd0f33121c25a80b148b336"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.05194",
    "kind": "arxiv",
    "version": 3
  }
}