Pith Number

pith:PWKA3VOQ

pith:2009:PWKA3VOQU5K6P2XDFL7Q6HQJKX

not attested not anchored not stored refs pending

Classical gauge field as a dark matter

K. Myrzakulov, R. Myrzakulov, V. Dzhunushaliev

arxiv:0912.4311 v3 · 2009-12-22 · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PWKA3VOQU5K6P2XDFL7Q6HQJKX}

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	2026-05-18T02:24:45.527182Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d940dd5d0a755e7eae32aff0f1e0955d757e6d2cec6d0954b4cca51b81da411

Aliases

arxiv: 0912.4311 · arxiv_version: 0912.4311v3 · doi: 10.48550/arxiv.0912.4311 · pith_short_12: PWKA3VOQU5K6 · pith_short_16: PWKA3VOQU5K6P2XD · pith_short_8: PWKA3VOQ

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/PWKA3VOQU5K6P2XDFL7Q6HQJKX \
  | 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: 7d940dd5d0a755e7eae32aff0f1e0955d757e6d2cec6d0954b4cca51b81da411

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "618a8936efa6e4853d1f1ec216d0e2d4f222d16b1dcce6a263642744a061f3e8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2009-12-22T01:28:24Z",
    "title_canon_sha256": "a206db669f849da93af114844ddf1e606266473ee06c6eb63053b6c88ccbd916"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.4311",
    "kind": "arxiv",
    "version": 3
  }
}