Pith Number

pith:YWH6ZIJO

pith:2015:YWH6ZIJOQIRYNOTDLWU2IS76YI

not attested not anchored not stored refs pending

Oscillatory Attractors: A New Cosmological Phase

Frank Wilczek, Jasdeep S. Bains, Mark P. Hertzberg

arxiv:1512.02304 v2 · 2015-12-08 · hep-th · astro-ph.CO · gr-qc · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YWH6ZIJOQIRYNOTDLWU2IS76YI}

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	2026-05-18T00:45:01.812413Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c58feca12e822386ba635da9a44bfec219de91663076838c1d86b084fc40710d

Aliases

arxiv: 1512.02304 · arxiv_version: 1512.02304v2 · doi: 10.48550/arxiv.1512.02304 · pith_short_12: YWH6ZIJOQIRY · pith_short_16: YWH6ZIJOQIRYNOTD · pith_short_8: YWH6ZIJO

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/YWH6ZIJOQIRYNOTDLWU2IS76YI \
  | 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: c58feca12e822386ba635da9a44bfec219de91663076838c1d86b084fc40710d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7fe4acf633aaa003968f28ebd1b95bafb17baab241c645dd4b6a8c10c4d390dc",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-12-08T02:09:12Z",
    "title_canon_sha256": "7e9fdd15a648e86eea06707f1c9b231e568c7d927e1223f91098a5134a2b6139"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02304",
    "kind": "arxiv",
    "version": 2
  }
}