Pith Number

pith:2SGNUEVH

pith:2011:2SGNUEVHQHBSWK5PJSXXJQCVFF

not attested not anchored not stored refs pending

Functional ergodic theorems of site-dependent branching Brownian motions in R

Yuqiang Li

arxiv:1107.5190 v2 · 2011-07-26 · 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{2SGNUEVHQHBSWK5PJSXXJQCVFF}

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	2026-05-18T04:15:16.005613Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d48cda12a781c32b2baf4caf74c055294f931c9b61ac18892fb2e0cae90e384e

Aliases

arxiv: 1107.5190 · arxiv_version: 1107.5190v2 · doi: 10.48550/arxiv.1107.5190 · pith_short_12: 2SGNUEVHQHBS · pith_short_16: 2SGNUEVHQHBSWK5P · pith_short_8: 2SGNUEVH

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/2SGNUEVHQHBSWK5PJSXXJQCVFF \
  | 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: d48cda12a781c32b2baf4caf74c055294f931c9b61ac18892fb2e0cae90e384e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56b39ba960c3618dd59c48bcaefedcca260d1b652378d1998c0e506f6b8c54c1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-07-26T12:13:42Z",
    "title_canon_sha256": "9cadd6a868f9104933480d9466afeeb3cbe5538139d452fe080f7b0281ba303b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.5190",
    "kind": "arxiv",
    "version": 2
  }
}