Pith Number

pith:7YOTR4HX

pith:2009:7YOTR4HXBN2JC2E3TC4OFDYG6X

not attested not anchored not stored refs pending

Noether Symmetry Approach in "Cosmic Triad" Vector Field Scenario

Yi Zhang, Yun-gui Gong, Zong-Hong Zhu

arxiv:0912.4766 v2 · 2009-12-24 · astro-ph.CO · gr-qc · hep-ph · 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{7YOTR4HXBN2JC2E3TC4OFDYG6X}

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	2026-05-18T02:33:55.430488Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe1d38f0f70b7491689b98b8e28f06f5ee592b2f6de26628f64fe2c27ce470a3

Aliases

arxiv: 0912.4766 · arxiv_version: 0912.4766v2 · doi: 10.48550/arxiv.0912.4766 · pith_short_12: 7YOTR4HXBN2J · pith_short_16: 7YOTR4HXBN2JC2E3 · pith_short_8: 7YOTR4HX

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/7YOTR4HXBN2JC2E3TC4OFDYG6X \
  | 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: fe1d38f0f70b7491689b98b8e28f06f5ee592b2f6de26628f64fe2c27ce470a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95bd3582e45abc06332781b4506d7b274b3138dabeae70302aa2a31180b477b2",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2009-12-24T02:03:28Z",
    "title_canon_sha256": "fe5a654f897cfe11b1e9cf3e504c7de331155a1d323fef06d8f32e2b53cce47d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.4766",
    "kind": "arxiv",
    "version": 2
  }
}