Pith Number

pith:HSB7MQSU

pith:2015:HSB7MQSUNCODX3NME6WGQPGTF7

not attested not anchored not stored refs pending

Conditional expectations of random holomorphic fields on Riemann surfaces

Renjie Feng

arxiv:1511.02383 v1 · 2015-11-07 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HSB7MQSUNCODX3NME6WGQPGTF7}

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	2026-05-18T00:11:19.450136Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c83f64254689c3bedac27ac683cd32fd68b61dcbb5043545b6717937613d8b2

Aliases

arxiv: 1511.02383 · arxiv_version: 1511.02383v1 · doi: 10.48550/arxiv.1511.02383 · pith_short_12: HSB7MQSUNCOD · pith_short_16: HSB7MQSUNCODX3NM · pith_short_8: HSB7MQSU

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/HSB7MQSUNCODX3NME6WGQPGTF7 \
  | 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: 3c83f64254689c3bedac27ac683cd32fd68b61dcbb5043545b6717937613d8b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc5d0f79aaaf05f04ee3f8f71e52309760f2af14fcab8fa520b02ccc539ce984",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-11-07T18:14:45Z",
    "title_canon_sha256": "4a27d0663ce9d3cc85cb2a57927fad75f6aeb1b0884e8919c4f8e35012d6c04b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.02383",
    "kind": "arxiv",
    "version": 1
  }
}