Pith Number

pith:4PQ7CJFO

pith:2015:4PQ7CJFOSYO5USBQAJ7CISQJQP

not attested not anchored not stored refs pending

Coherent states, quantum gravity and the Born-Oppenheimer approximation, III: Applications to loop quantum gravity

Alexander Stottmeister, Thomas Thiemann

arxiv:1504.02171 v1 · 2015-04-09 · math-ph · gr-qc · hep-th · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4PQ7CJFOSYO5USBQAJ7CISQJQP}

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	2026-05-18T01:04:22.936543Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3e1f124ae961dda4830027e244a0983c6fd691c2cc0494252f1c7a0362cb9b5

Aliases

arxiv: 1504.02171 · arxiv_version: 1504.02171v1 · doi: 10.48550/arxiv.1504.02171 · pith_short_12: 4PQ7CJFOSYO5 · pith_short_16: 4PQ7CJFOSYO5USBQ · pith_short_8: 4PQ7CJFO

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/4PQ7CJFOSYO5USBQAJ7CISQJQP \
  | 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: e3e1f124ae961dda4830027e244a0983c6fd691c2cc0494252f1c7a0362cb9b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae77d252298cbb01bc4854d9c91ad6c78b4eef7f00e4eec3690993d2be75d33b",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-04-09T01:44:51Z",
    "title_canon_sha256": "6b79cc29bad7b7930ab1db9157561607ebf62947df9993717f6d7a1c6e86ede6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.02171",
    "kind": "arxiv",
    "version": 1
  }
}