Pith Number

pith:RXQ4TEMP

pith:2010:RXQ4TEMPDGQ6I2Y6UZHM3R4FON

not attested not anchored not stored refs pending

Aperiodic oscillatory asymptotic behavior for some Bianchi spacetimes

Fran\c{c}ois B\'eguin

arxiv:1004.2984 v2 · 2010-04-17 · gr-qc · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RXQ4TEMPDGQ6I2Y6UZHM3R4FON}

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	2026-05-18T02:07:57.194556Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8de1c9918f19a1e46b1ea64ecdc7857371d56aa4bcdedb24aa1526d8eb871010

Aliases

arxiv: 1004.2984 · arxiv_version: 1004.2984v2 · doi: 10.48550/arxiv.1004.2984 · pith_short_12: RXQ4TEMPDGQ6 · pith_short_16: RXQ4TEMPDGQ6I2Y6 · pith_short_8: RXQ4TEMP

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/RXQ4TEMPDGQ6I2Y6UZHM3R4FON \
  | 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: 8de1c9918f19a1e46b1ea64ecdc7857371d56aa4bcdedb24aa1526d8eb871010

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63fb65ddebb0eafab49017cab44ae51c7374df48cdd94c18290ac2f98249ecfd",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-04-17T20:48:50Z",
    "title_canon_sha256": "f11b8ac4c48640bc9adbf714515e23d075fb1dd90712a82eb65d7c40305d26cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.2984",
    "kind": "arxiv",
    "version": 2
  }
}