Pith Number

pith:ZUM7DKYP

pith:2009:ZUM7DKYPG35XG7IGOIBS3PBLPW

not attested not anchored not stored refs pending

Localization and the interface between quantum mechanics, quantum field theory and quantum gravity I (The two antagonistic localizations and their asymptotic compatibility)

Bert Schroer

arxiv:0912.2874 v3 · 2009-12-15 · math-ph · gr-qc · math.MP · physics.hist-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZUM7DKYPG35XG7IGOIBS3PBLPW}

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	2026-05-18T04:34:54.321710Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd19f1ab0f36fb737d0672032dbc2b7d955e8bc9f88b0b144340d04ca659286c

Aliases

arxiv: 0912.2874 · arxiv_version: 0912.2874v3 · doi: 10.48550/arxiv.0912.2874 · pith_short_12: ZUM7DKYPG35X · pith_short_16: ZUM7DKYPG35XG7IG · pith_short_8: ZUM7DKYP

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/ZUM7DKYPG35XG7IGOIBS3PBLPW \
  | 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: cd19f1ab0f36fb737d0672032dbc2b7d955e8bc9f88b0b144340d04ca659286c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81b9f29dda618b3d0a394f375e988c404cdfdfde8f4b2485fb274945c1c456f3",
    "cross_cats_sorted": [
      "gr-qc",
      "math.MP",
      "physics.hist-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-12-15T13:07:17Z",
    "title_canon_sha256": "91bfb2cbe44df49e54819c9896b2d54ec46f05587cf3fb3529d70d532486c84b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.2874",
    "kind": "arxiv",
    "version": 3
  }
}