Pith Number

pith:NRLY4DH3

pith:2026:NRLY4DH3S7FC34DKQIZ6UBBB6J

not attested not anchored not stored refs pending

The total mass of Brownian loop measure of Riemann surfaces for large genus

Jiankun Hou, Yunhui Wu

arxiv:2607.02168 v1 · 2026-07-02 · math.DG · 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{NRLY4DH3S7FC34DKQIZ6UBBB6J}

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	2026-07-03T01:17:43.882639Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c578e0cfb97ca2df06a8233ea0421f27e475ad4a54af868c575e9e70dc07c6e

Aliases

arxiv: 2607.02168 · arxiv_version: 2607.02168v1 · doi: 10.48550/arxiv.2607.02168 · pith_short_12: NRLY4DH3S7FC · pith_short_16: NRLY4DH3S7FC34DK · pith_short_8: NRLY4DH3

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/NRLY4DH3S7FC34DKQIZ6UBBB6J \
  | 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: 6c578e0cfb97ca2df06a8233ea0421f27e475ad4a54af868c575e9e70dc07c6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5e0d23db06308ab269ce99ffca52111dc5f8d2ef2835a844aa2ff922ab39991",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-07-02T13:38:43Z",
    "title_canon_sha256": "4ba6d04ef63f2a5d130435e721564d4c898718237e600266c1c14d2e2ac53bbc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.02168",
    "kind": "arxiv",
    "version": 1
  }
}