Pith Number

pith:TIKR3FXL

pith:2010:TIKR3FXLDOIC6H2LXKUGADRYDH

not attested not anchored not stored refs pending

Generalised second law of thermodynamics for interacting dark energy in the DGP brane world

Jibitesh Dutta, Subenoy Chakraborty

arxiv:1006.2210 v1 · 2010-06-11 · 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{TIKR3FXLDOIC6H2LXKUGADRYDH}

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	2026-05-18T02:16:39.570845Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a151d96eb1b902f1f4bbaa8600e3819d93c95529ba5f53c383d189d39d6c6d2

Aliases

arxiv: 1006.2210 · arxiv_version: 1006.2210v1 · doi: 10.48550/arxiv.1006.2210 · pith_short_12: TIKR3FXLDOIC · pith_short_16: TIKR3FXLDOIC6H2L · pith_short_8: TIKR3FXL

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/TIKR3FXLDOIC6H2LXKUGADRYDH \
  | 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: 9a151d96eb1b902f1f4bbaa8600e3819d93c95529ba5f53c383d189d39d6c6d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e40edeb6495aaa3a0ff43a0c25cc5981b1508ec132e972d42bf962194c83624c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-06-11T06:50:09Z",
    "title_canon_sha256": "152a856566c4864e64b3990ef57b43e4a808e4b98607781806a3b802f69db1c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.2210",
    "kind": "arxiv",
    "version": 1
  }
}