Pith Number

pith:VEQ37IMY

pith:2017:VEQ37IMY5YQJRKP35PMIMZYWH3

not attested not anchored not stored refs pending

From Coarse-Graining to Holography in Loop Quantum Gravity

Etera R. Livine

arxiv:1704.04067 v2 · 2017-04-13 · 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{VEQ37IMY5YQJRKP35PMIMZYWH3}

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	2026-05-18T00:07:12.249779Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a921bfa198ee2098a9fbebd88667163ed7112257da8ae431039c79878d2efe1b

Aliases

arxiv: 1704.04067 · arxiv_version: 1704.04067v2 · doi: 10.48550/arxiv.1704.04067 · pith_short_12: VEQ37IMY5YQJ · pith_short_16: VEQ37IMY5YQJRKP3 · pith_short_8: VEQ37IMY

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/VEQ37IMY5YQJRKP35PMIMZYWH3 \
  | 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: a921bfa198ee2098a9fbebd88667163ed7112257da8ae431039c79878d2efe1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1d6110fccdb2dc43336bae71b2f86c4991744382526a4d5cbb48582fef5d6e1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2017-04-13T10:58:47Z",
    "title_canon_sha256": "04c98207cfb627ce14989e5bc0a0f38134e180abfdbb55f3345c9ce27a9dc515"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.04067",
    "kind": "arxiv",
    "version": 2
  }
}