Pith Number

pith:VKR56RLY

pith:2021:VKR56RLYJPXIQR2OD6XFXMRCNJ

not attested not anchored not stored refs pending

The Golden Ratio and Hydrodynamics

Boris Khesin, Hanchun Wang

arxiv:2104.02225 v1 · 2021-04-06 · math.DS · hep-ph · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VKR56RLYJPXIQR2OD6XFXMRCNJ}

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	2026-07-05T02:29:15.837302Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aaa3df45784bee88474e1fae5bb2226a58247b1bbdf3e4ae9ba6a957e886bd8c

Aliases

arxiv: 2104.02225 · arxiv_version: 2104.02225v1 · doi: 10.48550/arxiv.2104.02225 · pith_short_12: VKR56RLYJPXI · pith_short_16: VKR56RLYJPXIQR2O · pith_short_8: VKR56RLY

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/VKR56RLYJPXIQR2OD6XFXMRCNJ \
  | 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: aaa3df45784bee88474e1fae5bb2226a58247b1bbdf3e4ae9ba6a957e886bd8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7447510799fcc2a6353c5eb770eba710b87c375fc46c427a35406d8e63fa226",
    "cross_cats_sorted": [
      "hep-ph",
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2021-04-06T01:29:47Z",
    "title_canon_sha256": "ee199019cb2228c6aabbfe60cd68189997aca620e9f47d2d01e173f8aaf5ab31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.02225",
    "kind": "arxiv",
    "version": 1
  }
}