Pith Number

pith:MGV7XKS4

pith:2016:MGV7XKS4TMKRI72SWSWPMYAONJ

not attested not anchored not stored refs pending

The Vertex Expansion in the Consistent Histories Formulation of Spin Foam Loop Quantum Cosmology

David Craig, Parampreet Singh

arxiv:1603.09671 v1 · 2016-03-31 · 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{MGV7XKS4TMKRI72SWSWPMYAONJ}

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	2026-05-18T01:17:57.913160Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61abfbaa5c9b15147f52b4acf6600e6a450a4812eac80923a36d49fc7658cf5e

Aliases

arxiv: 1603.09671 · arxiv_version: 1603.09671v1 · doi: 10.48550/arxiv.1603.09671 · pith_short_12: MGV7XKS4TMKR · pith_short_16: MGV7XKS4TMKRI72S · pith_short_8: MGV7XKS4

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/MGV7XKS4TMKRI72SWSWPMYAONJ \
  | 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: 61abfbaa5c9b15147f52b4acf6600e6a450a4812eac80923a36d49fc7658cf5e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "439c379fd43b8a92ef2106b8c1e665c4952f82f79121d20875e3e4a0b160f7b3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-03-31T16:31:30Z",
    "title_canon_sha256": "e19715fd469cceb59c99c75a9ecdc4210ac2d89b9a364d11080e8c41ede8388f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.09671",
    "kind": "arxiv",
    "version": 1
  }
}