Pith Number

pith:YKELVG7K

pith:2011:YKELVG7KGNDCEN3S5TCFDAOQI4

not attested not anchored not stored refs pending

Evolution of curvature and anisotropy near a nonsingular bounce

BingKan Xue, Paul J. Steinhardt

arxiv:1106.1416 v2 · 2011-06-07 · hep-th · 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{YKELVG7KGNDCEN3S5TCFDAOQI4}

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	2026-05-18T03:23:24.449789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c288ba9bea3346223772ecc45181d04739089505501211619700c0475f9a5536

Aliases

arxiv: 1106.1416 · arxiv_version: 1106.1416v2 · doi: 10.48550/arxiv.1106.1416 · pith_short_12: YKELVG7KGNDC · pith_short_16: YKELVG7KGNDCEN3S · pith_short_8: YKELVG7K

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/YKELVG7KGNDCEN3S5TCFDAOQI4 \
  | 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: c288ba9bea3346223772ecc45181d04739089505501211619700c0475f9a5536

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d20582ec2e65f50632fb9b430e46d0dbf4f5dcff78db3cf5109c7557fbbaf45",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-06-07T19:14:02Z",
    "title_canon_sha256": "d6bbdd9da4140b09ba2ff8f1e147d267ce5a9157ab197fe7dd2d1625deaf1497"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.1416",
    "kind": "arxiv",
    "version": 2
  }
}