Pith Number

pith:IMPEND77

pith:2026:IMPEND775GXEE6EIZL5HZWKA4E

not attested not anchored not stored refs pending

A Unified Gradient Theory for Frame-Indifferent Rates of Tensorial Internal Variables

Luis Espath

arxiv:2607.12949 v1 · 2026-07-14 · 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{IMPEND775GXEE6EIZL5HZWKA4E}

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	2026-07-15T01:22:26.832430Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

431e468fffe9ae427888cafa7cd940e12ad792f7ccfe57cb6a95d6ab0ee2cf29

Aliases

arxiv: 2607.12949 · arxiv_version: 2607.12949v1 · doi: 10.48550/arxiv.2607.12949 · pith_short_12: IMPEND775GXE · pith_short_16: IMPEND775GXEE6EI · pith_short_8: IMPEND77

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/IMPEND775GXEE6EIZL5HZWKA4E \
  | 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: 431e468fffe9ae427888cafa7cd940e12ad792f7ccfe57cb6a95d6ab0ee2cf29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51a833a5750d6c6fa29d0d49ab414bfab0a0e37728dad61e98a95a967d228a9c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2026-07-14T16:38:07Z",
    "title_canon_sha256": "0a243148eeed4aeee8636108d99f401af7901ec3a1eb096d52d180fd627930ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.12949",
    "kind": "arxiv",
    "version": 1
  }
}