Pith Number

pith:4BCZK2PZ

pith:2015:4BCZK2PZGYSWIM5SHMAIMQ3I4M

not attested not anchored not stored refs pending

Small scale equidistribution of random eigenbases

Xiaolong Han

arxiv:1511.01195 v1 · 2015-11-04 · math.SP · math.AP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4BCZK2PZGYSWIM5SHMAIMQ3I4M}

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	2026-05-18T01:16:47.578857Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0459569f936256433b23b00864368e326ea8d0a6ebab88ea7116bb3782d108c

Aliases

arxiv: 1511.01195 · arxiv_version: 1511.01195v1 · doi: 10.48550/arxiv.1511.01195 · pith_short_12: 4BCZK2PZGYSW · pith_short_16: 4BCZK2PZGYSWIM5S · pith_short_8: 4BCZK2PZ

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/4BCZK2PZGYSWIM5SHMAIMQ3I4M \
  | 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: e0459569f936256433b23b00864368e326ea8d0a6ebab88ea7116bb3782d108c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "438c38ef451c9eb856d8bb93957b892e0e9a4c3a18215479093251a173ed9201",
    "cross_cats_sorted": [
      "math.AP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2015-11-04T03:07:01Z",
    "title_canon_sha256": "48708a34d6406c632b3c98464bcc14d726cf0ce58952bc4f9d1f6fc4d50cff58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.01195",
    "kind": "arxiv",
    "version": 1
  }
}