Pith Number

pith:5FR3T6W5

pith:2025:5FR3T6W5Y4EZY4OJ7X7XW4AFWR

not attested not anchored not stored refs pending

Gravity as emergent phenomena for spherically symmetric black hole accretion of multi-component flow with relativistic equation of state

Aishee Chakraborty, Souvik Ghose, Tapas K. Das, Tuhin Paul

arxiv:2501.15676 v3 · 2025-01-26 · gr-qc · astro-ph.HE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5FR3T6W5Y4EZY4OJ7X7XW4AFWR}

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	2026-07-05T11:48:00.104121Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e963b9faddc7099c71c9fdff7b7005b4452410d3955df98ef1cd4e7810bf64ae

Aliases

arxiv: 2501.15676 · arxiv_version: 2501.15676v3 · doi: 10.48550/arxiv.2501.15676 · pith_short_12: 5FR3T6W5Y4EZ · pith_short_16: 5FR3T6W5Y4EZY4OJ · pith_short_8: 5FR3T6W5

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/5FR3T6W5Y4EZY4OJ7X7XW4AFWR \
  | 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: e963b9faddc7099c71c9fdff7b7005b4452410d3955df98ef1cd4e7810bf64ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fc331cd447bef980c0b14fa83a971db488d6b4a753fb140ab380c09aadee583",
    "cross_cats_sorted": [
      "astro-ph.HE"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-01-26T21:22:52Z",
    "title_canon_sha256": "a5670ab3e372032b2679ff5c0f1a3f9451509195d1e703fba70b369d10f42517"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.15676",
    "kind": "arxiv",
    "version": 3
  }
}