Pith Number

pith:ZGQTGJEZ

pith:2007:ZGQTGJEZHWD7NUYRYJBJYF3YXV

not attested not anchored not stored refs pending

On Brownian flights

Athanasios Batakis (MAPMO), MAPMO), Michel Zinsmeister (PMC, Pierre Levitz (PMC)

arxiv:0704.2362 v1 · 2007-04-18 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZGQTGJEZHWD7NUYRYJBJYF3YXV}

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	2026-05-17T23:48:12.334340Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9a13324993d87f6d311c2429c1778bd7ea83205fa8924f00639958e521c01f0

Aliases

arxiv: 0704.2362 · arxiv_version: 0704.2362v1 · doi: 10.48550/arxiv.0704.2362 · pith_short_12: ZGQTGJEZHWD7 · pith_short_16: ZGQTGJEZHWD7NUYR · pith_short_8: ZGQTGJEZ

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/ZGQTGJEZHWD7NUYRYJBJYF3YXV \
  | 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: c9a13324993d87f6d311c2429c1778bd7ea83205fa8924f00639958e521c01f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4847a564a4dee775e0cd43f7949694f9110dc76c95c97754bb0996a61285c981",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CA",
    "submitted_at": "2007-04-18T14:49:45Z",
    "title_canon_sha256": "9efc8605e1c2ae9bbc08397c809d7e84a761bd56a8e5a75072b18d3122dedecd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0704.2362",
    "kind": "arxiv",
    "version": 1
  }
}