Pith Number

pith:XO7QGGED

pith:2009:XO7QGGED33PRDAZ6WG5UEF5WNB

not attested not anchored not stored refs pending

Possibility of hyperbolic tunneling

Francisco S. N. Lobo, Jos\'e P. Mimoso

arxiv:0907.3811 v2 · 2009-07-22 · gr-qc · astro-ph.CO · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XO7QGGED33PRDAZ6WG5UEF5WNB}

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	2026-05-18T04:41:35.942167Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbbf031883dedf11833eb1bb4217b66851cacd313b0292debe69621fc084f261

Aliases

arxiv: 0907.3811 · arxiv_version: 0907.3811v2 · doi: 10.48550/arxiv.0907.3811 · pith_short_12: XO7QGGED33PR · pith_short_16: XO7QGGED33PRDAZ6 · pith_short_8: XO7QGGED

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/XO7QGGED33PRDAZ6WG5UEF5WNB \
  | 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: bbbf031883dedf11833eb1bb4217b66851cacd313b0292debe69621fc084f261

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46ac18800566dc5abba31a1a472bec291d77dd5ca14f6df4752f91eb9341776f",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2009-07-22T10:39:45Z",
    "title_canon_sha256": "db8d3a493289feefa1db8ad68f6bec621d069f809db641cee571def63e682211"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.3811",
    "kind": "arxiv",
    "version": 2
  }
}