Pith Number

pith:X25BJ6YY

pith:2026:X25BJ6YYQLCYDIA5ANOZCDKZN3

not attested not anchored not stored refs pending

Coupling of diffusion and reaction in a thin cylindrical tube: Methodological drawbacks of the Fick--Jacobs approach

Sergey D. Traytak, Timofey V. Fedoseev

arxiv:2606.12292 v1 · 2026-06-10 · physics.chem-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X25BJ6YYQLCYDIA5ANOZCDKZN3}

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	2026-06-11T01:11:00.168074Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

beba14fb1882c581a01d035d910d596ec874b95df3c0006e932c603d094c6cbc

Aliases

arxiv: 2606.12292 · arxiv_version: 2606.12292v1 · doi: 10.48550/arxiv.2606.12292 · pith_short_12: X25BJ6YYQLCY · pith_short_16: X25BJ6YYQLCYDIA5 · pith_short_8: X25BJ6YY

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/X25BJ6YYQLCYDIA5ANOZCDKZN3 \
  | 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: beba14fb1882c581a01d035d910d596ec874b95df3c0006e932c603d094c6cbc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3238ddb1f6014ae78100b60930a60342721e4a74f33a9b27027ab6d80e34c3bb",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.chem-ph",
    "submitted_at": "2026-06-10T16:27:32Z",
    "title_canon_sha256": "3afc3335cbb1a4c7484f4fd1de8c176d307ed5992f3fcdeb7154a43f0e2781c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.12292",
    "kind": "arxiv",
    "version": 1
  }
}