Pith Number

pith:CM4TC63C

pith:2010:CM4TC63CPYRKVUOOJRYJZ3VEFK

not attested not anchored not stored refs pending

Late-time behaviour of the Einstein-Vlasov system with Bianchi I symmetry

Ernesto Nungesser

arxiv:1012.4595 v1 · 2010-12-21 · 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{CM4TC63CPYRKVUOOJRYJZ3VEFK}

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	2026-05-18T02:04:19.443421Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1339317b627e22aad1ce4c709ceea42abb137c6eb3ab498dff15b937d903574e

Aliases

arxiv: 1012.4595 · arxiv_version: 1012.4595v1 · doi: 10.48550/arxiv.1012.4595 · pith_short_12: CM4TC63CPYRK · pith_short_16: CM4TC63CPYRKVUOO · pith_short_8: CM4TC63C

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/CM4TC63CPYRKVUOOJRYJZ3VEFK \
  | 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: 1339317b627e22aad1ce4c709ceea42abb137c6eb3ab498dff15b937d903574e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e66e8227f3b1b2af94cc4b10828acd819332d10e8035fb718b877ab1bb9c3331",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-12-21T10:49:39Z",
    "title_canon_sha256": "3c1b0585b48d8af4c8b96035e151211e7dac9c701e26f5c0527d8160415157f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.4595",
    "kind": "arxiv",
    "version": 1
  }
}