Pith Number

pith:LD4MQ57M

pith:2006:LD4MQ57MEGG5Y3MWHM44VUTL3I

not attested not anchored not stored refs pending

The critical Reynolds number of a laminar mixing layer

M. P. Manoharan, Pinaki Bhattacharya, Rama Govindarajan, R. Narasimha

arxiv:physics/0604009 v1 · 2006-04-03 · physics.flu-dyn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LD4MQ57MEGG5Y3MWHM44VUTL3I}

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	2026-07-04T14:54:40.065183Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58f8c877ec218ddc6d963b39cad26bda063312248ddca01233588e79a8f430be

Aliases

arxiv: physics/0604009 · arxiv_version: physics/0604009v1 · doi: 10.48550/arxiv.physics/0604009 · pith_short_12: LD4MQ57MEGG5 · pith_short_16: LD4MQ57MEGG5Y3MW · pith_short_8: LD4MQ57M

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/LD4MQ57MEGG5Y3MWHM44VUTL3I \
  | 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: 58f8c877ec218ddc6d963b39cad26bda063312248ddca01233588e79a8f430be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8916d8ed5481b0805d6bd4baa6aa285c7af37b85e604559309d67e8876eaa440",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2006-04-03T10:30:32Z",
    "title_canon_sha256": "e67377912c5cbf19a2d8c49028100a5dd00d6725e7ee234cd380c04943571b7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "physics/0604009",
    "kind": "arxiv",
    "version": 1
  }
}