Pith Number

pith:X56ICNHM

pith:2020:X56ICNHMOY7JB45Z2HUOCFXRYQ

not attested not anchored not stored refs pending

Bifurcation and stability of downflowing gyrotactic micro-organism suspensions in a vertical pipe

Lloyd Fung, Rachel N. Bearon, Yongyun Hwang

arxiv:2001.08072 v3 · 2020-01-22 · 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{X56ICNHMOY7JB45Z2HUOCFXRYQ}

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	2026-07-05T01:46:13.938542Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf7c8134ec763e90f3b9d1e8e116f1c4113183644ea5c5a9b5c458184f97e592

Aliases

arxiv: 2001.08072 · arxiv_version: 2001.08072v3 · doi: 10.48550/arxiv.2001.08072 · pith_short_12: X56ICNHMOY7J · pith_short_16: X56ICNHMOY7JB45Z · pith_short_8: X56ICNHM

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/X56ICNHMOY7JB45Z2HUOCFXRYQ \
  | 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: bf7c8134ec763e90f3b9d1e8e116f1c4113183644ea5c5a9b5c458184f97e592

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b89c227bd73f6c6113dc914a4074776896aa91781b051644ee2ceffa12e8119c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2020-01-22T15:33:10Z",
    "title_canon_sha256": "73d616908ff6ab3ebc8429f3105faff82ac9dd85fda3712754f4d0882d6e0d7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2001.08072",
    "kind": "arxiv",
    "version": 3
  }
}