Pith Number

pith:ICXTM6DP

pith:2021:ICXTM6DPU5Z7BUUP3NZNPANVPU

not attested not anchored not stored refs pending

Statistics of Thawing K-essence Dark Energy Models

Zhiqi Huang

arxiv:2108.06089 v2 · 2021-08-13 · astro-ph.CO · gr-qc · hep-ph · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ICXTM6DPU5Z7BUUP3NZNPANVPU}

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	2026-07-05T03:36:11.385436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40af36786fa773f0d28fdb72d781b57d0019957e4bb190bf11a3375d20fa68a5

Aliases

arxiv: 2108.06089 · arxiv_version: 2108.06089v2 · doi: 10.48550/arxiv.2108.06089 · pith_short_12: ICXTM6DPU5Z7 · pith_short_16: ICXTM6DPU5Z7BUUP · pith_short_8: ICXTM6DP

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/ICXTM6DPU5Z7BUUP3NZNPANVPU \
  | 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: 40af36786fa773f0d28fdb72d781b57d0019957e4bb190bf11a3375d20fa68a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4f4761bcc0121eb3dde48d47e6b317448ec0cab171ca8e4addc0f260bc9875e",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2021-08-13T06:50:22Z",
    "title_canon_sha256": "0a01427b7094ac3a105afc5adba8b6e24b4609858559c9790fb333284fd4b3a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.06089",
    "kind": "arxiv",
    "version": 2
  }
}