Pith Number

pith:PUWJF33A

pith:2011:PUWJF33AHFQEUZDZKHBXMFAPNG

not attested not anchored not stored refs pending

Numerical Techniques in Loop Quantum Cosmology

Daniel Cartin, David Brizuela, Gaurav Khanna

arxiv:1110.0646 v2 · 2011-10-04 · 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{PUWJF33AHFQEUZDZKHBXMFAPNG}

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	2026-05-18T04:05:26.966204Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d2c92ef6039604a647951c376140f69a3fa575d68d0e610fce01331fa8ab2eb

Aliases

arxiv: 1110.0646 · arxiv_version: 1110.0646v2 · doi: 10.48550/arxiv.1110.0646 · pith_short_12: PUWJF33AHFQE · pith_short_16: PUWJF33AHFQEUZDZ · pith_short_8: PUWJF33A

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/PUWJF33AHFQEUZDZKHBXMFAPNG \
  | 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: 7d2c92ef6039604a647951c376140f69a3fa575d68d0e610fce01331fa8ab2eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efa0bb035420ac56c2bc42323364eef6ad7c817a319291cffa29302ae546309a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-10-04T11:46:04Z",
    "title_canon_sha256": "a4c793d17be169ac8a51d6abc2f2d75ab28ca6e3f89c97f73556640b06766b9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.0646",
    "kind": "arxiv",
    "version": 2
  }
}