Pith Number

pith:TPTUEQJS

pith:2018:TPTUEQJS6F4XSYBAEP76O4GCJM

not attested not anchored not stored refs pending

Critical review of Murray's theory for optimal branching in fluidic networks

C.H. Venner, R. Hagmeijer

arxiv:1812.09706 v1 · 2018-12-23 · 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{TPTUEQJS6F4XSYBAEP76O4GCJM}

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	2026-05-17T23:57:27.029600Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9be7424132f17979602023ffe770c24b2aa7ab94ead28a895a59f5f79509e7ed

Aliases

arxiv: 1812.09706 · arxiv_version: 1812.09706v1 · doi: 10.48550/arxiv.1812.09706 · pith_short_12: TPTUEQJS6F4X · pith_short_16: TPTUEQJS6F4XSYBA · pith_short_8: TPTUEQJS

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/TPTUEQJS6F4XSYBAEP76O4GCJM \
  | 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: 9be7424132f17979602023ffe770c24b2aa7ab94ead28a895a59f5f79509e7ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db0940192965d29040cdae0fd7d6ea9dbddcc80c73d83da1fc05317dfb2abf13",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2018-12-23T13:30:06Z",
    "title_canon_sha256": "c42e705118a1f52254d97183d4ac9bb07fd4ab4df3e1067959a343b837756225"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.09706",
    "kind": "arxiv",
    "version": 1
  }
}