Pith Number

pith:FXFXC534

pith:2016:FXFXC534IJSK7F5XONSYZ7JZI2

not attested not anchored not stored refs pending

The Birkhoff theorem and string clouds

K.A. Bronnikov, M.V. Skvortsova, Sung-Won Kim

arxiv:1604.04905 v1 · 2016-04-17 · 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{FXFXC534IJSK7F5XONSYZ7JZI2}

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	2026-05-18T01:02:20.864866Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2dcb71777c4264af97b773658cfd39468836402d04f7edf6d92602ffff324032

Aliases

arxiv: 1604.04905 · arxiv_version: 1604.04905v1 · doi: 10.48550/arxiv.1604.04905 · pith_short_12: FXFXC534IJSK · pith_short_16: FXFXC534IJSK7F5X · pith_short_8: FXFXC534

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/FXFXC534IJSK7F5XONSYZ7JZI2 \
  | 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: 2dcb71777c4264af97b773658cfd39468836402d04f7edf6d92602ffff324032

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "259afebe7464b47f89a47c84d3f98897719cebef0dc11646c36f3e75facc9a7b",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-04-17T18:29:06Z",
    "title_canon_sha256": "292845379f32b3eff00a0803c6db62b82963c94795b0a0750b854b8381f4c03e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.04905",
    "kind": "arxiv",
    "version": 1
  }
}