Pith Number

pith:6HN5MC2X

pith:2015:6HN5MC2XXF5Y2JIKGAKEQNWIWY

not attested not anchored not stored refs pending

Smooth Bounce in Affine Quantization of Bianchi I

Andrea Dapor, Herve Bergeron, Jean-Pierre Gazeau, Przemyslaw Malkiewicz

arxiv:1501.07718 v1 · 2015-01-30 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6HN5MC2XXF5Y2JIKGAKEQNWIWY}

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	2026-05-18T01:37:23.198720Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1dbd60b57b97b8d250a30144836c8b6288cdf36d5d5690a581fe364be389717

Aliases

arxiv: 1501.07718 · arxiv_version: 1501.07718v1 · doi: 10.48550/arxiv.1501.07718 · pith_short_12: 6HN5MC2XXF5Y · pith_short_16: 6HN5MC2XXF5Y2JIK · pith_short_8: 6HN5MC2X

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/6HN5MC2XXF5Y2JIKGAKEQNWIWY \
  | 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: f1dbd60b57b97b8d250a30144836c8b6288cdf36d5d5690a581fe364be389717

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4618ceebc47c843ffdba8d1ae93cb3d796921160a93bfa6bd5a7d6eaa04817fc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-01-30T10:03:35Z",
    "title_canon_sha256": "5c1d7022a134891cce5bf1de2a58672a5fa3f5899d182cbb6ef728364854f94e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.07718",
    "kind": "arxiv",
    "version": 1
  }
}