Pith Number

pith:QV6MPCQU

pith:2010:QV6MPCQUN3EIDFWBIRR6FHNLMP

not attested not anchored not stored refs pending

Knudsen gas in a finite random tube: transport diffusion and first passage properties

Francis Comets, Gunter M. Sch\"utz, Marina Vachkovskaia, Serguei Popov

arxiv:1004.1206 v1 · 2010-04-07 · 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{QV6MPCQUN3EIDFWBIRR6FHNLMP}

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	2026-05-18T04:03:43.752594Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

857cc78a146ec88196c14463e29dab63d368bf7326c17015e78036b11a1c3a4f

Aliases

arxiv: 1004.1206 · arxiv_version: 1004.1206v1 · doi: 10.48550/arxiv.1004.1206 · pith_short_12: QV6MPCQUN3EI · pith_short_16: QV6MPCQUN3EIDFWB · pith_short_8: QV6MPCQU

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/QV6MPCQUN3EIDFWBIRR6FHNLMP \
  | 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: 857cc78a146ec88196c14463e29dab63d368bf7326c17015e78036b11a1c3a4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5607a423ba8a4f0aace660f2b16819a5dc30a5ec3e3a3c773dce6338cb63dc01",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-04-07T23:16:59Z",
    "title_canon_sha256": "9a14fe40a7a6741266beb891258d0de0c7306f603d8af8504319e632844269bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.1206",
    "kind": "arxiv",
    "version": 1
  }
}