Pith Number

pith:MSZOKP7B

pith:2021:MSZOKP7B2MNMQC2WSGCGMWBNL6

not attested not anchored not stored refs pending

Optimal renormalization of multi-scale systems

Brek Meuris, Jacob Price, Madelyn Shapiro, Panos Stinis

arxiv:2101.09789 v1 · 2021-01-24 · physics.flu-dyn · cs.NA · math.AP · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MSZOKP7B2MNMQC2WSGCGMWBNL6}

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	2026-07-05T04:29:23.339490Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64b2e53fe1d31ac80b56918466582d5fb75bb58ac97fe856595353ca3d739e28

Aliases

arxiv: 2101.09789 · arxiv_version: 2101.09789v1 · doi: 10.48550/arxiv.2101.09789 · pith_short_12: MSZOKP7B2MNM · pith_short_16: MSZOKP7B2MNMQC2W · pith_short_8: MSZOKP7B

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/MSZOKP7B2MNMQC2WSGCGMWBNL6 \
  | 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: 64b2e53fe1d31ac80b56918466582d5fb75bb58ac97fe856595353ca3d739e28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0271d04b82b5a5320569262fbb47141916398be8fc60f3c398405b481bfb442b",
    "cross_cats_sorted": [
      "cs.NA",
      "math.AP",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2021-01-24T20:17:26Z",
    "title_canon_sha256": "ba63c113dba35998c0874fa49ff24d026d0b103becdd29ceae1036025ca83ef6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.09789",
    "kind": "arxiv",
    "version": 1
  }
}