Pith Number

pith:JGDO25JK

pith:2018:JGDO25JKMTKP5IYSNFM3E3PRLS

not attested not anchored not stored refs pending

Duality of random planar maps via percolation

Lo\"ic Richier, Nicolas Curien

arxiv:1802.01576 v1 · 2018-02-05 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JGDO25JKMTKP5IYSNFM3E3PRLS}

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	2026-05-18T00:24:21.921466Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4986ed752a64d4fea3126959b26df15c93fe57f2dece344706a20829a51964da

Aliases

arxiv: 1802.01576 · arxiv_version: 1802.01576v1 · doi: 10.48550/arxiv.1802.01576 · pith_short_12: JGDO25JKMTKP · pith_short_16: JGDO25JKMTKP5IYS · pith_short_8: JGDO25JK

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/JGDO25JKMTKP5IYSNFM3E3PRLS \
  | 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: 4986ed752a64d4fea3126959b26df15c93fe57f2dece344706a20829a51964da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4bf7f25e7c31381efe524726e27b337ef5054f05757ca0fab1bfb8dad52718ec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-02-05T17:26:31Z",
    "title_canon_sha256": "2462f94bc7b1330338081a421e9f61cf05bb8e08b8557c0c4fe2fdba2bf90000"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.01576",
    "kind": "arxiv",
    "version": 1
  }
}