Pith Number

pith:6QQATVX7

pith:2016:6QQATVX7CE4B7WY2K7622BSYRX

not attested not anchored not stored refs pending

Answer to the Comments on the paper "A study of phantom scalar field cosmology using Lie and Noether symmetries" by A. Paliathanasis, et al. arXiv:1605.05147

Sourav Dutta, Subenoy Chakraborty

arxiv:1607.05524 v1 · 2016-07-19 · 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{6QQATVX7CE4B7WY2K7622BSYRX}

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	2026-05-18T00:51:47.894176Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f42009d6ff11381fdb1a57fdad06588dfdbdc9ac4fbba81949b34d17faed561e

Aliases

arxiv: 1607.05524 · arxiv_version: 1607.05524v1 · doi: 10.48550/arxiv.1607.05524 · pith_short_12: 6QQATVX7CE4B · pith_short_16: 6QQATVX7CE4B7WY2 · pith_short_8: 6QQATVX7

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/6QQATVX7CE4B7WY2K7622BSYRX \
  | 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: f42009d6ff11381fdb1a57fdad06588dfdbdc9ac4fbba81949b34d17faed561e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "340a0265b33aa167e0d37ed51400f13c5a128b02a764bfcb493f316e3e739acc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-07-19T11:23:17Z",
    "title_canon_sha256": "0337e7a3c793e580149b4ca400fe3a939099b9f8e5476c88d4e6f9298d47c644"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.05524",
    "kind": "arxiv",
    "version": 1
  }
}