Pith Number

pith:DF5RVLYO

pith:2026:DF5RVLYOINMPTHC2WOGAFQ3VLC

not attested not anchored not stored refs pending

Bianchi IX dynamics with a phantom field

Adel Awad, Alexey Golovnev, Alexey Toporensky, Dmitry Chirkov

arxiv:2606.22675 v1 · 2026-06-21 · 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{DF5RVLYOINMPTHC2WOGAFQ3VLC}

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	2026-06-23T02:13:44.527308Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

197b1aaf0e4358f99c5ab38c02c37558a06b552a7c61fb61c5c754ad0f2c9b4a

Aliases

arxiv: 2606.22675 · arxiv_version: 2606.22675v1 · doi: 10.48550/arxiv.2606.22675 · pith_short_12: DF5RVLYOINMP · pith_short_16: DF5RVLYOINMPTHC2 · pith_short_8: DF5RVLYO

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/DF5RVLYOINMPTHC2WOGAFQ3VLC \
  | 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: 197b1aaf0e4358f99c5ab38c02c37558a06b552a7c61fb61c5c754ad0f2c9b4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50e31055d1a0dc604a485d5d6ebbb7634dda0d1eee3d31ff6a2b86277daa626c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-06-21T21:24:34Z",
    "title_canon_sha256": "83d26f079ceb7528c8d384ebaffb7f2f0a09a9664ed8a345ca2a9e64303f90ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.22675",
    "kind": "arxiv",
    "version": 1
  }
}