Pith Number

pith:3QOSZ4HB

pith:2017:3QOSZ4HBOFXI5ZABDHC77WU5TQ

not attested not anchored not stored refs pending

Reversal property of the Brownian tree

Jean-Francois Delmas, Romain Abraham

arxiv:1710.03460 v1 · 2017-10-10 · 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{3QOSZ4HBOFXI5ZABDHC77WU5TQ}

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	2026-05-18T00:33:11.858780Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc1d2cf0e1716e8ee40119c5ffda9d9c2e0ddebeb2a1cfcbc48f3fdcf9bcfb90

Aliases

arxiv: 1710.03460 · arxiv_version: 1710.03460v1 · doi: 10.48550/arxiv.1710.03460 · pith_short_12: 3QOSZ4HBOFXI · pith_short_16: 3QOSZ4HBOFXI5ZAB · pith_short_8: 3QOSZ4HB

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/3QOSZ4HBOFXI5ZABDHC77WU5TQ \
  | 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: dc1d2cf0e1716e8ee40119c5ffda9d9c2e0ddebeb2a1cfcbc48f3fdcf9bcfb90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "526e444829d9d19a084873fa49f3627543edc51675406a2372373adf1016179d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-10-10T09:08:30Z",
    "title_canon_sha256": "8dbe3125c039a0a210000e065a7a1f266192536063b1161bc29c73bb562267ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.03460",
    "kind": "arxiv",
    "version": 1
  }
}