Pith Number

pith:VQOO6JZA

pith:2015:VQOO6JZAXWUWXLDP3OUICXYGWB

not attested not anchored not stored refs pending

Spectral Action for Bianchi Type-IX Cosmological Models

Farzad Fathizadeh, Matilde Marcolli, Wentao Fan

arxiv:1506.06779 v1 · 2015-06-22 · hep-th · gr-qc · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VQOO6JZAXWUWXLDP3OUICXYGWB}

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	2026-05-18T01:40:55.974000Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac1cef2720bda96bac6fdba8815f06b072802c49c02e65df50e777c796d06306

Aliases

arxiv: 1506.06779 · arxiv_version: 1506.06779v1 · doi: 10.48550/arxiv.1506.06779 · pith_short_12: VQOO6JZAXWUW · pith_short_16: VQOO6JZAXWUWXLDP · pith_short_8: VQOO6JZA

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/VQOO6JZAXWUWXLDP3OUICXYGWB \
  | 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: ac1cef2720bda96bac6fdba8815f06b072802c49c02e65df50e777c796d06306

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "325f5cc4481370f3c3b16cabe64509bc99786d2b28cf41a553c9f8d104c259ab",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-06-22T20:19:54Z",
    "title_canon_sha256": "215d448aee2b4ba556fd8d923990323fe7ec9a8593e24062f11cabeec76fba1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.06779",
    "kind": "arxiv",
    "version": 1
  }
}