Pith Number

pith:2A5FRKL3

pith:2021:2A5FRKL37UM5PUHVGTRWI4YD72

not attested not anchored not stored refs pending

Multiple Steady and Oscillatory Solutions in a Collapsible Channel Flow

Danyang Wang, Peter S. Stewart, Xiaoyu Luo

arxiv:2107.05327 v1 · 2021-07-12 · 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{2A5FRKL37UM5PUHVGTRWI4YD72}

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	2026-07-05T03:34:30.180788Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d03a58a97bfd19d7d0f534e3647303fe867b4cfc0c0bca2ccc318856147de348

Aliases

arxiv: 2107.05327 · arxiv_version: 2107.05327v1 · doi: 10.48550/arxiv.2107.05327 · pith_short_12: 2A5FRKL37UM5 · pith_short_16: 2A5FRKL37UM5PUHV · pith_short_8: 2A5FRKL3

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/2A5FRKL37UM5PUHVGTRWI4YD72 \
  | 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: d03a58a97bfd19d7d0f534e3647303fe867b4cfc0c0bca2ccc318856147de348

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "838c0afba1511a44d1254656cfb993f00ead7f02228e0e0a75038c26518f8d52",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2021-07-12T11:33:57Z",
    "title_canon_sha256": "96ec1060452a468258565b55575d1127f0e88c1f2a3fe37e2170e66cac0dd140"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.05327",
    "kind": "arxiv",
    "version": 1
  }
}