Pith Number

pith:2EOBSGVM

pith:2008:2EOBSGVMKCVC3QNYRTSMHIKSEX

not attested not anchored not stored refs pending

On collisions of Brownian particles

Ioannis Karatzas, Tomoyuki Ichiba

arxiv:0810.2149 v3 · 2008-10-13 · 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{2EOBSGVMKCVC3QNYRTSMHIKSEX}

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	2026-05-18T04:39:17.065704Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d11c191aac50aa2dc1b88ce4c3a15225fe9d6d81f7908d7765562491108691f4

Aliases

arxiv: 0810.2149 · arxiv_version: 0810.2149v3 · doi: 10.48550/arxiv.0810.2149 · pith_short_12: 2EOBSGVMKCVC · pith_short_16: 2EOBSGVMKCVC3QNY · pith_short_8: 2EOBSGVM

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/2EOBSGVMKCVC3QNYRTSMHIKSEX \
  | 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: d11c191aac50aa2dc1b88ce4c3a15225fe9d6d81f7908d7765562491108691f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32a7d4994626ffba19d6fdf904124b522b25402fad7f0b8f9d5b9f8a17225319",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2008-10-13T15:29:06Z",
    "title_canon_sha256": "ec8841f518e6bb63ddd4c9afd8444dc21a92523459dcd99fb0b8f3ec8113b99b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0810.2149",
    "kind": "arxiv",
    "version": 3
  }
}