Pith Number

pith:75E5QXAJ

pith:2021:75E5QXAJTNRMJKOK65NAYCX5VC

not attested not anchored not stored refs pending

The Effects of Multiple Modes and Reduced Symmetry on the Rapidity and Robustness of Slow Contraction

Andrew P. Sullivan, Anna Ijjas, Frans Pretorius, Paul J. Steinhardt

arxiv:2104.12293 v1 · 2021-04-26 · 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{75E5QXAJTNRMJKOK65NAYCX5VC}

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	2026-07-05T02:56:39.584450Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff49d85c099b62c4a9caf75a0c0afda8a29889010781ccbe10fc17ef2a063891

Aliases

arxiv: 2104.12293 · arxiv_version: 2104.12293v1 · doi: 10.48550/arxiv.2104.12293 · pith_short_12: 75E5QXAJTNRM · pith_short_16: 75E5QXAJTNRMJKOK · pith_short_8: 75E5QXAJ

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/75E5QXAJTNRMJKOK65NAYCX5VC \
  | 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: ff49d85c099b62c4a9caf75a0c0afda8a29889010781ccbe10fc17ef2a063891

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "512c2ff3d1125ddd9756ec1f937fbe7c55ea2d3a9676d9924908b53364a0b153",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-04-26T00:32:06Z",
    "title_canon_sha256": "c16e09649eebd4c700c7999c34bd2402a4646166c0e88c14509afaeaa71cc66b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.12293",
    "kind": "arxiv",
    "version": 1
  }
}