Pith Number

pith:MMUF6UTV

pith:2012:MMUF6UTVWHFGHLEZYESNYX5URB

not attested not anchored not stored refs pending

Gradient flows in the normal and K\"ahler metrics and triple bracket generated metriplectic systems

Anthony M. Bloch, Philip J. Morrison, Tudor S. Ratiu

arxiv:1208.6193 v1 · 2012-08-30 · math-ph · math.DS · math.MP · physics.flu-dyn · physics.plasm-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MMUF6UTVWHFGHLEZYESNYX5URB}

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	2026-05-18T03:46:46.220772Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63285f5275b1ca63ac99c124dc5fb4884af261ade92f936b939e962711918c80

Aliases

arxiv: 1208.6193 · arxiv_version: 1208.6193v1 · doi: 10.48550/arxiv.1208.6193 · pith_short_12: MMUF6UTVWHFG · pith_short_16: MMUF6UTVWHFGHLEZ · pith_short_8: MMUF6UTV

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/MMUF6UTVWHFGHLEZYESNYX5URB \
  | 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: 63285f5275b1ca63ac99c124dc5fb4884af261ade92f936b939e962711918c80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efbdbff505439e302bf206faa54df8102be94887f4e02df67eb93760fe3d0b1f",
    "cross_cats_sorted": [
      "math.DS",
      "math.MP",
      "physics.flu-dyn",
      "physics.plasm-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-08-30T14:52:10Z",
    "title_canon_sha256": "1e68bdec95508bf1b9089bc12956907630a347e13646d7a280bf56ce03c867c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.6193",
    "kind": "arxiv",
    "version": 1
  }
}