Pith Number

pith:TBSCNGCB

pith:2011:TBSCNGCBX6AQEAMKIL5JS4LLS3

not attested not anchored not stored refs pending

Examination of the nature of the Bianchi type cosmological singularities

Piotr Dzierzak

arxiv:1104.5486 v2 · 2011-04-28 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TBSCNGCBX6AQEAMKIL5JS4LLS3}

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	2026-05-18T04:23:12.720882Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9864269841bf8102018a42fa99716b96e6138a5850b21d8534e7c3984acdf1e4

Aliases

arxiv: 1104.5486 · arxiv_version: 1104.5486v2 · doi: 10.48550/arxiv.1104.5486 · pith_short_12: TBSCNGCBX6AQ · pith_short_16: TBSCNGCBX6AQEAMK · pith_short_8: TBSCNGCB

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/TBSCNGCBX6AQEAMKIL5JS4LLS3 \
  | 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: 9864269841bf8102018a42fa99716b96e6138a5850b21d8534e7c3984acdf1e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ecfc3b7f91aa6128f5f051e9756b395cb22171088bc04fee88826a3d5caa3d7a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-04-28T19:52:22Z",
    "title_canon_sha256": "0db4ddb6384a7154a633d5adfa02d1257e064d09a11ec0d40ffcff61f7562cd6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.5486",
    "kind": "arxiv",
    "version": 2
  }
}