Pith Number

pith:FX2H5DCW

pith:2021:FX2H5DCW55JFFIBE4L5V6WU2PS

not attested not anchored not stored refs pending

Relativistic spin dynamics conditioned by dark matter axions

Alexander J. Silenko

arxiv:2109.05576 v2 · 2021-09-12 · 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{FX2H5DCW55JFFIBE4L5V6WU2PS}

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	2026-07-05T05:04:25.532997Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2df47e8c56ef5252a024e2fb5f5a9a7c96d91bd49ac527b28af30a25e1bb4663

Aliases

arxiv: 2109.05576 · arxiv_version: 2109.05576v2 · doi: 10.48550/arxiv.2109.05576 · pith_short_12: FX2H5DCW55JF · pith_short_16: FX2H5DCW55JFFIBE · pith_short_8: FX2H5DCW

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/FX2H5DCW55JFFIBE4L5V6WU2PS \
  | 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: 2df47e8c56ef5252a024e2fb5f5a9a7c96d91bd49ac527b28af30a25e1bb4663

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b77892228192798eb8d23314ed24c088a96e9f510265720cddea5a8e9630f73",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-09-12T17:52:57Z",
    "title_canon_sha256": "8d322fd9798e6a3a39fd01ca33b5b9e16dbfa675ee7969695fb8423f4affca32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.05576",
    "kind": "arxiv",
    "version": 2
  }
}