Pith Number

pith:TSRFA3HC

pith:2015:TSRFA3HCX4KRJMUSVJXC6AJQPS

not attested not anchored not stored refs pending

Symmetry reduction in high dimensions, illustrated in a turbulent pipe

Ashley P. Willis, Kimberly Y. Short, Predrag Cvitanovi\'c

arxiv:1504.05825 v2 · 2015-04-22 · 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{TSRFA3HCX4KRJMUSVJXC6AJQPS}

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	2026-05-18T00:45:08.726700Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ca2506ce2bf1514b292aa6e2f01307c934aa2057ad5ced1e8f52bd941fb5d17

Aliases

arxiv: 1504.05825 · arxiv_version: 1504.05825v2 · doi: 10.48550/arxiv.1504.05825 · pith_short_12: TSRFA3HCX4KR · pith_short_16: TSRFA3HCX4KRJMUS · pith_short_8: TSRFA3HC

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/TSRFA3HCX4KRJMUSVJXC6AJQPS \
  | 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: 9ca2506ce2bf1514b292aa6e2f01307c934aa2057ad5ced1e8f52bd941fb5d17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e3c89d67fd54eb38c8a80e36929bb313715eaf412a3357af1cf4dd99c2cb3ab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2015-04-22T14:33:59Z",
    "title_canon_sha256": "30cc459402d269f75928c3aca11562285e64085f8db7193c4815f7b85b8134a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.05825",
    "kind": "arxiv",
    "version": 2
  }
}