Pith Number

pith:FM5PDQYM

pith:2016:FM5PDQYMCAUMX5QTLBOAARF5DY

not attested not anchored not stored refs pending

Long Brownian bridges in hyperbolic spaces converge to Brownian trees

Gr\'egory Miermont (UMPA-ENSL), Xinxin Chen (ICJ)

arxiv:1609.01907 v1 · 2016-09-07 · 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{FM5PDQYMCAUMX5QTLBOAARF5DY}

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	2026-05-18T01:05:09.699204Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b3af1c30c1028cbf613585c0044bd1e08607dea686ebc485f6c38c958ab154a

Aliases

arxiv: 1609.01907 · arxiv_version: 1609.01907v1 · doi: 10.48550/arxiv.1609.01907 · pith_short_12: FM5PDQYMCAUM · pith_short_16: FM5PDQYMCAUMX5QT · pith_short_8: FM5PDQYM

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/FM5PDQYMCAUMX5QTLBOAARF5DY \
  | 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: 2b3af1c30c1028cbf613585c0044bd1e08607dea686ebc485f6c38c958ab154a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c956331396e2d0946a8e8d44920b0bea5d38954ca4eac32a1995da1c86446d6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-09-07T09:38:47Z",
    "title_canon_sha256": "fc18cdcd2f7af7287a01f6f8b323f066138df91d4948f327797269e879c8ca84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.01907",
    "kind": "arxiv",
    "version": 1
  }
}