Pith Number

pith:BTPVLLVP

pith:2026:BTPVLLVPUQPMB2SWF6MMVUKP5G

not attested not anchored not stored refs pending

Bulk Viscosity and Thermodynamic Approaches to Singularity Resolution in Non-Metric Gravity

M. Sharif, M. Zeeshan Gul, Nusrat Fatima

arxiv:2607.21668 v1 · 2026-07-23 · 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{BTPVLLVPUQPMB2SWF6MMVUKP5G}

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	2026-07-27T00:20:14.134597Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0cdf55aeafa41ec0ea562f98cad14fe9af976b56b83a6982e0e23126bb746ddc

Aliases

arxiv: 2607.21668 · arxiv_version: 2607.21668v1 · doi: 10.48550/arxiv.2607.21668 · pith_short_12: BTPVLLVPUQPM · pith_short_16: BTPVLLVPUQPMB2SW · pith_short_8: BTPVLLVP

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/BTPVLLVPUQPMB2SWF6MMVUKP5G \
  | 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: 0cdf55aeafa41ec0ea562f98cad14fe9af976b56b83a6982e0e23126bb746ddc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c61dd4f5459cbd7e5dd1e1197716ff20f6b3ce5af3ac4c59777292cf16c86495",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-07-23T05:59:59Z",
    "title_canon_sha256": "a4d50bbd7b8c8813759ff1d43769e06b0d101ee0f24e969cab9fae384eeac6c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.21668",
    "kind": "arxiv",
    "version": 1
  }
}