Pith Number

pith:3FOOODHK

pith:2016:3FOOODHKWK6DCDLRHF6YUDTDCR

not attested not anchored not stored refs pending

Veiled singularities for the spherically symmetric massless Einstein-Vlasov system

Alan D. Rendall, Juan J. L. Vel\'azquez

arxiv:1604.06576 v1 · 2016-04-22 · gr-qc · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3FOOODHKWK6DCDLRHF6YUDTDCR}

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	2026-05-18T00:20:07.566710Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d95ce70ceab2bc310d71397d8a0e631459f50b8f911e272bcbe799e8123d4d17

Aliases

arxiv: 1604.06576 · arxiv_version: 1604.06576v1 · doi: 10.48550/arxiv.1604.06576 · pith_short_12: 3FOOODHKWK6D · pith_short_16: 3FOOODHKWK6DCDLR · pith_short_8: 3FOOODHK

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/3FOOODHKWK6DCDLRHF6YUDTDCR \
  | 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: d95ce70ceab2bc310d71397d8a0e631459f50b8f911e272bcbe799e8123d4d17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1cb6fa4831ca6f9d4c8a9a46bbdce30b95d87d46651b08a839a776d1fc1c3ea4",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-04-22T08:58:51Z",
    "title_canon_sha256": "844cc821572059048ca61568758ab667952fb79121811dbb3339396532d8ded2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.06576",
    "kind": "arxiv",
    "version": 1
  }
}