Pith Number

pith:72NVJUMF

pith:2022:72NVJUMFDJI4MET6JUSAFEQGX6

not attested not anchored not stored refs pending

Hydrodynamics of the $t$-PNG model via a colored $t$-PNG model

Hindy Drillick, Yier Lin

arxiv:2204.11158 v2 · 2022-04-24 · math.PR · 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{72NVJUMFDJI4MET6JUSAFEQGX6}

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	2026-07-05T05:25:28.628327Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe9b54d1851a51c6127e4d24029206bf83569a67205d529caaf1b6f21e8bde08

Aliases

arxiv: 2204.11158 · arxiv_version: 2204.11158v2 · doi: 10.48550/arxiv.2204.11158 · pith_short_12: 72NVJUMFDJI4 · pith_short_16: 72NVJUMFDJI4MET6 · pith_short_8: 72NVJUMF

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/72NVJUMFDJI4MET6JUSAFEQGX6 \
  | 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: fe9b54d1851a51c6127e4d24029206bf83569a67205d529caaf1b6f21e8bde08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "adb6ef55eeccf8aa6c5325bf66ebc5883fce84860bbb746d59f8132d7134fd89",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2022-04-24T01:04:46Z",
    "title_canon_sha256": "da22826059f78926812394b813182a3b2e08af3335510312cf5aad628e5fdb1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.11158",
    "kind": "arxiv",
    "version": 2
  }
}