Pith Number

pith:F4RO2XLR

pith:2015:F4RO2XLRFYAMW4PETNCRCXCPLY

not attested not anchored not stored refs pending

Chaos Decomposition and Gap Renormalization of Brownian Self-Intersection Local Times

Jinky Bornales, Ludwig Streit, Maria Jo\~ao Oliveira

arxiv:1505.07099 v1 · 2015-05-26 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F4RO2XLRFYAMW4PETNCRCXCPLY}

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	2026-05-18T01:09:46.843310Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f22ed5d712e00cb71e49b45115c4f5e2fc2edab895bcea72128bfbfbb4b407a

Aliases

arxiv: 1505.07099 · arxiv_version: 1505.07099v1 · doi: 10.48550/arxiv.1505.07099 · pith_short_12: F4RO2XLRFYAM · pith_short_16: F4RO2XLRFYAMW4PE · pith_short_8: F4RO2XLR

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/F4RO2XLRFYAMW4PETNCRCXCPLY \
  | 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: 2f22ed5d712e00cb71e49b45115c4f5e2fc2edab895bcea72128bfbfbb4b407a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e374cd0f99a718bd9cf554c0b2bef3f44d98daeea2fbe2d4b09e8545acfd13e",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-05-26T19:57:29Z",
    "title_canon_sha256": "c114fd5fa8be63c45a9041dbf3005a66f2d22ae5634c36532f87f28ed119ef00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.07099",
    "kind": "arxiv",
    "version": 1
  }
}