Pith Number

pith:A47XCU2G

pith:2016:A47XCU2GBQLLHFUIKBP4VXNUDP

not attested not anchored not stored refs pending

Representation Theorems of $\mathbb{R}$-trees and Brownian Motions Indexed by $\mathbb R$-trees

Asuman G. Aksoy, Monariah Al-Ansari, Qidi Peng

arxiv:1601.03108 v2 · 2016-01-13 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A47XCU2GBQLLHFUIKBP4VXNUDP}

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	2026-05-18T00:19:59.555195Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

073f7153460c16b39688505fcaddb41bf65f59e6c3151038872a40c898b9ba44

Aliases

arxiv: 1601.03108 · arxiv_version: 1601.03108v2 · doi: 10.48550/arxiv.1601.03108 · pith_short_12: A47XCU2GBQLL · pith_short_16: A47XCU2GBQLLHFUI · pith_short_8: A47XCU2G

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/A47XCU2GBQLLHFUIKBP4VXNUDP \
  | 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: 073f7153460c16b39688505fcaddb41bf65f59e6c3151038872a40c898b9ba44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ac9f532c90369bf33990521e6f1d9810f62fc8689b3cb6d683e641ce3378eba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2016-01-13T00:53:09Z",
    "title_canon_sha256": "fc059ecb243ee6583c1a47f9f83d1253cfb7fd7d710a7d3523a62a7f6f33601a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.03108",
    "kind": "arxiv",
    "version": 2
  }
}