Pith Number

pith:PSDL6MJJ

pith:2016:PSDL6MJJ3AZI2BXZB2H5HREBTM

not attested not anchored not stored refs pending

Spherical averages in the space of marked lattices

Ilya Vinogradov, Jens Marklof

arxiv:1603.02779 v1 · 2016-03-09 · math.DS · math-ph · math.MP · 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{PSDL6MJJ3AZI2BXZB2H5HREBTM}

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	2026-05-18T01:19:19.864144Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c86bf3129d8328d06f90e8fd3c4819b1b42859b76c3b0ff16ae5f08d9d970e2

Aliases

arxiv: 1603.02779 · arxiv_version: 1603.02779v1 · doi: 10.48550/arxiv.1603.02779 · pith_short_12: PSDL6MJJ3AZI · pith_short_16: PSDL6MJJ3AZI2BXZ · pith_short_8: PSDL6MJJ

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/PSDL6MJJ3AZI2BXZB2H5HREBTM \
  | 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: 7c86bf3129d8328d06f90e8fd3c4819b1b42859b76c3b0ff16ae5f08d9d970e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee9ef1bad71ca225721bac0738e349484d7bab0e5dd78d3af1674d8ffb0ecca5",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-03-09T04:22:45Z",
    "title_canon_sha256": "35a133e49754aba34e0e62b3683b7be873b611989cb5609685f9e28f1719d6bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.02779",
    "kind": "arxiv",
    "version": 1
  }
}