Pith Number

pith:CBXM3SYI

pith:2026:CBXM3SYID4LH6DENWCIQSM5RNN

not attested not anchored not stored refs pending

Dynamical Completion of Coupling-Charge Thermodynamics

Bayram Tekin, Kamal Hajian

arxiv:2606.30707 v1 · 2026-06-29 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CBXM3SYID4LH6DENWCIQSM5RNN}

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	2026-07-01T00:17:14.061014Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

106ecdcb081f167f0c8db0910933b16b567e73dbeff87c566e217b96420558d2

Aliases

arxiv: 2606.30707 · arxiv_version: 2606.30707v1 · doi: 10.48550/arxiv.2606.30707 · pith_short_12: CBXM3SYID4LH · pith_short_16: CBXM3SYID4LH6DEN · pith_short_8: CBXM3SYI

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/CBXM3SYID4LH6DENWCIQSM5RNN \
  | 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: 106ecdcb081f167f0c8db0910933b16b567e73dbeff87c566e217b96420558d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ab780f9f1aff0b1fd5070d261a6624010442fbe40383d6ab64115b228cad6d7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-06-29T14:36:48Z",
    "title_canon_sha256": "eddb53d513af905343fef3c6bb74fa81c2d3191fac1d92225e8bac60f06024f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.30707",
    "kind": "arxiv",
    "version": 1
  }
}