Pith Number

pith:OPAKF3QK

pith:2015:OPAKF3QKI7ZR3KT66A6KVD6L6S

not attested not anchored not stored refs pending

Optimal occlusion uniformly partitions red blood cells fluxes within a microvascular network

Andrew Pietersen, Kyung In Baek, Marcus Roper, Sheng-Ping L. Hwang, Shenyinying Tu, Shyr-Shea Chang, Tzung K. Hsiai, Van Savage, Yu-Hsiu Liu

arxiv:1512.04184 v3 · 2015-12-14 · q-bio.TO · physics.bio-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{OPAKF3QKI7ZR3KT66A6KVD6L6S}

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	2026-05-18T00:10:52.442055Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73c0a2ee0a47f31daa7ef03caa8fcbf482ec42bd1b3bffdbf01cd7cdbcff5e2a

Aliases

arxiv: 1512.04184 · arxiv_version: 1512.04184v3 · doi: 10.48550/arxiv.1512.04184 · pith_short_12: OPAKF3QKI7ZR · pith_short_16: OPAKF3QKI7ZR3KT6 · pith_short_8: OPAKF3QK

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/OPAKF3QKI7ZR3KT66A6KVD6L6S \
  | 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: 73c0a2ee0a47f31daa7ef03caa8fcbf482ec42bd1b3bffdbf01cd7cdbcff5e2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d7cdca0152e24855c27c5ba5f36749fd698fba3cb367afe7ec3b60b13a773af",
    "cross_cats_sorted": [
      "physics.bio-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.TO",
    "submitted_at": "2015-12-14T06:06:02Z",
    "title_canon_sha256": "f82c04862acc76583caa57404a3e2902af1d7bde58f83ee2ecb165d8abe1fe5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.04184",
    "kind": "arxiv",
    "version": 3
  }
}