Pith Number

pith:XALZ2HAG

pith:2012:XALZ2HAGM3VWF2ADFPPBO7LJIF

not attested not anchored not stored refs pending

Cosmological Hysteresis and the Cyclic Universe

Aleksey Toporensky, Varun Sahni

arxiv:1203.0395 v3 · 2012-03-02 · gr-qc · astro-ph.CO · 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{XALZ2HAGM3VWF2ADFPPBO7LJIF}

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	2026-05-18T03:22:51.763872Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8179d1c0666eb62e8032bde177d694166d00abf76b798c38dfce80e1977b8f4

Aliases

arxiv: 1203.0395 · arxiv_version: 1203.0395v3 · doi: 10.48550/arxiv.1203.0395 · pith_short_12: XALZ2HAGM3VW · pith_short_16: XALZ2HAGM3VWF2AD · pith_short_8: XALZ2HAG

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/XALZ2HAGM3VWF2ADFPPBO7LJIF \
  | 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: b8179d1c0666eb62e8032bde177d694166d00abf76b798c38dfce80e1977b8f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0853079e3053dd03350e466865d2dd55a9e15e84fddb3fb756c57a2f56c0f77b",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-03-02T09:07:07Z",
    "title_canon_sha256": "9c00adc0cc90d804275bb2023379b38280089811d75902081d907f6492bf35f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.0395",
    "kind": "arxiv",
    "version": 3
  }
}