Pith Number

pith:VURXV665

pith:2012:VURXV665XZ66W6ZCR7ANWR2DXF

not attested not anchored not stored refs pending

Fast Scramblers, Horizons and Expander Graphs

Javier M. Magan, Jose L.F. Barbon

arxiv:1204.6435 v2 · 2012-04-28 · hep-th · gr-qc · quant-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{VURXV665XZ66W6ZCR7ANWR2DXF}

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	2026-05-18T01:57:42.741259Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad237afbddbe7deb7b228fc0db4743b948299fbaaf6255dca894d4a91adced98

Aliases

arxiv: 1204.6435 · arxiv_version: 1204.6435v2 · doi: 10.48550/arxiv.1204.6435 · pith_short_12: VURXV665XZ66 · pith_short_16: VURXV665XZ66W6ZC · pith_short_8: VURXV665

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/VURXV665XZ66W6ZCR7ANWR2DXF \
  | 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: ad237afbddbe7deb7b228fc0db4743b948299fbaaf6255dca894d4a91adced98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "670555a775832e3c0f33ef0a8d33555b157ce14d412b1b8cf5176faa2db9fe14",
    "cross_cats_sorted": [
      "gr-qc",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-04-28T21:21:08Z",
    "title_canon_sha256": "72e961c8162168b35e3727352aac88475a9ac30e4e756c4ed69602b043b9b66e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.6435",
    "kind": "arxiv",
    "version": 2
  }
}