Pith Number

pith:DKCSONEC

pith:2016:DKCSONECJLIS2N5VEIL5PIC6DJ

not attested not anchored not stored refs pending

Homology of Brownian loops

Yves Le Jan

arxiv:1610.09784 v3 · 2016-10-31 · 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{DKCSONECJLIS2N5VEIL5PIC6DJ}

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	2026-05-18T00:52:08.024677Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a852734824ad12d37b52217d7a05e1a51bb03483c076ce93f2a3863ee54a666

Aliases

arxiv: 1610.09784 · arxiv_version: 1610.09784v3 · doi: 10.48550/arxiv.1610.09784 · pith_short_12: DKCSONECJLIS · pith_short_16: DKCSONECJLIS2N5V · pith_short_8: DKCSONEC

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/DKCSONECJLIS2N5VEIL5PIC6DJ \
  | 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: 1a852734824ad12d37b52217d7a05e1a51bb03483c076ce93f2a3863ee54a666

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf7ea9d9c8f8baf575b2d0a9132e9ec53387d76cbe7f35780fe2c9dea3b77a6c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-10-31T04:14:51Z",
    "title_canon_sha256": "21bda7b611ee001384992183532db6a0df2f6687f7189709301e85d8d2a19b4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.09784",
    "kind": "arxiv",
    "version": 3
  }
}