Pith Number

pith:YQ4B4YAN

pith:2016:YQ4B4YANI6H4UCMCEY2MISMZIU

not attested not anchored not stored refs pending

Cosmological dynamics in spin-foam loop quantum cosmology: challenges and prospects

David A. Craig, Parampreet Singh

arxiv:1612.08800 v2 · 2016-12-28 · 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{YQ4B4YANI6H4UCMCEY2MISMZIU}

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	2026-05-18T00:48:41.919170Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4381e600d478fca09822634c449994519c6e1dcc31f56670b38201bc3688d35

Aliases

arxiv: 1612.08800 · arxiv_version: 1612.08800v2 · doi: 10.48550/arxiv.1612.08800 · pith_short_12: YQ4B4YANI6H4 · pith_short_16: YQ4B4YANI6H4UCMC · pith_short_8: YQ4B4YAN

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/YQ4B4YANI6H4UCMCEY2MISMZIU \
  | 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: c4381e600d478fca09822634c449994519c6e1dcc31f56670b38201bc3688d35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b73a168dffb3638e0bf914d85bc7db1e3e1e024bf30457adf4cada19a0d13a2f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-12-28T04:44:45Z",
    "title_canon_sha256": "d21ff37b36ae172af2c78d6bead3b1fcc6667c62cc9fed1029b9098fa9cbfd0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.08800",
    "kind": "arxiv",
    "version": 2
  }
}