Pith Number

pith:XA7HP3SK

pith:2016:XA7HP3SKLO2U3LOPQ2DJTAM4CX

not attested not anchored not stored refs pending

Geometry of infinite planar maps with high degrees

Nicolas Curien, Timothy Budd

arxiv:1602.01328 v2 · 2016-02-03 · math.PR · math-ph · math.CO · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XA7HP3SKLO2U3LOPQ2DJTAM4CX}

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	2026-05-18T00:46:08.295717Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b83e77ee4a5bb54dadcf868699819c15c1304aad30772704b56f12db3d460097

Aliases

arxiv: 1602.01328 · arxiv_version: 1602.01328v2 · doi: 10.48550/arxiv.1602.01328 · pith_short_12: XA7HP3SKLO2U · pith_short_16: XA7HP3SKLO2U3LOP · pith_short_8: XA7HP3SK

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/XA7HP3SKLO2U3LOPQ2DJTAM4CX \
  | 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: b83e77ee4a5bb54dadcf868699819c15c1304aad30772704b56f12db3d460097

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b08580185c7042f51aac0e122f5e0005ee36214b9c26bde998ef9d441c63d83c",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-02-03T15:01:42Z",
    "title_canon_sha256": "1761ee0315409c556dcc597c5cab5eb92b230b7229caccd3318cf38b0b9ee7b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.01328",
    "kind": "arxiv",
    "version": 2
  }
}