Pith Number

pith:AMCIE5QB

pith:2015:AMCIE5QBJ2XYZWREN47G27UQ3K

not attested not anchored not stored refs pending

Complete Hamiltonian analysis of cosmological perturbations at all orders

Debottam Nandi, S. Shankaranarayanan (IISER-TVM)

arxiv:1512.02539 v2 · 2015-12-04 · gr-qc · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AMCIE5QBJ2XYZWREN47G27UQ3K}

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	2026-05-18T01:03:50.769350Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03048276014eaf8cda246f3e6d7e90da8ec1afc2cbb920c3356d2b8d1bf9a6d8

Aliases

arxiv: 1512.02539 · arxiv_version: 1512.02539v2 · doi: 10.48550/arxiv.1512.02539 · pith_short_12: AMCIE5QBJ2XY · pith_short_16: AMCIE5QBJ2XYZWRE · pith_short_8: AMCIE5QB

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/AMCIE5QBJ2XYZWREN47G27UQ3K \
  | 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: 03048276014eaf8cda246f3e6d7e90da8ec1afc2cbb920c3356d2b8d1bf9a6d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "592a0d9c053a11a10342801ac593d5af690404eb75f9c8c0fb775c00790d4fdf",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-12-04T11:48:27Z",
    "title_canon_sha256": "e75b596a0577b4f318eea4de2305c44e86f52f15cb3e2b16b2371f069f1a5475"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02539",
    "kind": "arxiv",
    "version": 2
  }
}