Pith Number

pith:A6IBJ52G

pith:2026:A6IBJ52GWUS5DW6LQVU3UOOGW2

not attested not anchored not stored refs pending

Unified Entropic Dynamics Framework for Classical, and Quantum Wave Equations

Dalaver H. Anjum, Muhammad Saleem, Muhammad S. Anwar, Shahid Nawaz

arxiv:2606.23770 v1 · 2026-06-22 · physics.gen-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{A6IBJ52GWUS5DW6LQVU3UOOGW2}

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	2026-06-24T00:14:25.532878Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

079014f746b525d1dbcb8569ba39c6b6971b56fab04156654640f4ea5ee0a0cf

Aliases

arxiv: 2606.23770 · arxiv_version: 2606.23770v1 · doi: 10.48550/arxiv.2606.23770 · pith_short_12: A6IBJ52GWUS5 · pith_short_16: A6IBJ52GWUS5DW6L · pith_short_8: A6IBJ52G

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/A6IBJ52GWUS5DW6LQVU3UOOGW2 \
  | 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: 079014f746b525d1dbcb8569ba39c6b6971b56fab04156654640f4ea5ee0a0cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "858e09acff736871a230617901f86dc2f761c2d19631d319a155c63413f72600",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.gen-ph",
    "submitted_at": "2026-06-22T17:21:07Z",
    "title_canon_sha256": "793b78dedd6500a4e5ebd4c15f9ebcd174be74dc7f34ce6c720caa5b6fe6f9fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.23770",
    "kind": "arxiv",
    "version": 1
  }
}