Pith Number

pith:2ZYOS6OT

pith:2012:2ZYOS6OTTFAIJ53I2ZFJ62B3SQ

not attested not anchored not stored refs pending

Average Number of Lattice Points in a Disk

Robert S. Strichartz, Sujay Jayakar

arxiv:1206.1613 v1 · 2012-06-07 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2ZYOS6OTTFAIJ53I2ZFJ62B3SQ}

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	2026-05-18T03:54:03.709800Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d670e979d3994084f768d64a9f683b94178219831d4d3742107daa81c91fdf32

Aliases

arxiv: 1206.1613 · arxiv_version: 1206.1613v1 · doi: 10.48550/arxiv.1206.1613 · pith_short_12: 2ZYOS6OTTFAI · pith_short_16: 2ZYOS6OTTFAIJ53I · pith_short_8: 2ZYOS6OT

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/2ZYOS6OTTFAIJ53I2ZFJ62B3SQ \
  | 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: d670e979d3994084f768d64a9f683b94178219831d4d3742107daa81c91fdf32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b2b9561f1ca15ddb7b5399746b0cd0861889d818c6ebb962565db4919b73a75",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-06-07T20:56:27Z",
    "title_canon_sha256": "96cb1811f8722415d62a34d43855c9c52c0a661c732fa9e5adf5142bac5362d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.1613",
    "kind": "arxiv",
    "version": 1
  }
}