Pith Number

pith:QCQA3HBS

pith:2009:QCQA3HBS7P4RNV5ZVOP6WD7DJU

not attested not anchored not stored refs pending

Diffusivity bounds for 1D Brownian polymers

B\'alint T\'oth, Benedek Valk\'o, Pierre Tarr\`es

arxiv:0911.2356 v2 · 2009-11-12 · math.PR · 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{QCQA3HBS7P4RNV5ZVOP6WD7DJU}

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	2026-05-18T03:54:04.626782Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80a00d9c32fbf916d7b9ab9feb0fe34d3e990229b9e90d8f6c49ddf4cf7e1b01

Aliases

arxiv: 0911.2356 · arxiv_version: 0911.2356v2 · doi: 10.48550/arxiv.0911.2356 · pith_short_12: QCQA3HBS7P4R · pith_short_16: QCQA3HBS7P4RNV5Z · pith_short_8: QCQA3HBS

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/QCQA3HBS7P4RNV5ZVOP6WD7DJU \
  | 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: 80a00d9c32fbf916d7b9ab9feb0fe34d3e990229b9e90d8f6c49ddf4cf7e1b01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30c819ec65d9fd8ec3f7bf7356bfc337ef570e26d5f457aae3c7a5945c2f719c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-11-12T18:28:56Z",
    "title_canon_sha256": "0c05d233ffee2921c21c90e9f6f7703fbea1ef285d0584185d2aeb28f2dc2119"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.2356",
    "kind": "arxiv",
    "version": 2
  }
}