Pith Number

pith:RIP56HG6

pith:2016:RIP56HG6B2UP46G4BX56ICQCO4

not attested not anchored not stored refs pending

Equidistribution of random waves on small balls

Melissa Tacy, Xiaolong Han

arxiv:1611.05983 v4 · 2016-11-18 · 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{RIP56HG6B2UP46G4BX56ICQCO4}

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	2026-05-17T23:46:22.213409Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a1fdf1cde0ea8fe78dc0dfbe40a027715e97c0e6996beba1dc896373cd677f2

Aliases

arxiv: 1611.05983 · arxiv_version: 1611.05983v4 · doi: 10.48550/arxiv.1611.05983 · pith_short_12: RIP56HG6B2UP · pith_short_16: RIP56HG6B2UP46G4 · pith_short_8: RIP56HG6

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/RIP56HG6B2UP46G4BX56ICQCO4 \
  | 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: 8a1fdf1cde0ea8fe78dc0dfbe40a027715e97c0e6996beba1dc896373cd677f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19108b5150182fa19ebc882e202ba56134c0cd26893aaff91b4f9b956a0d9f72",
    "cross_cats_sorted": [
      "math.AP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2016-11-18T05:41:26Z",
    "title_canon_sha256": "4f6b4feb33ed354ca6a9e34a4fc9dcda472daa1be092746e592daadaf8d43b01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.05983",
    "kind": "arxiv",
    "version": 4
  }
}