Pith Number

pith:DYOSZNEV

pith:2016:DYOSZNEVPISL6ECUOOK3GCEANY

not attested not anchored not stored refs pending

On norms taking integer values on the integer lattice

Mikael de la Salle

arxiv:1604.01578 v1 · 2016-04-06 · math.FA · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DYOSZNEVPISL6ECUOOK3GCEANY}

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	2026-05-18T00:33:44.191739Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e1d2cb4957a24bf10547395b308806e3de57e5dca4d4473804600c20dc7e95f

Aliases

arxiv: 1604.01578 · arxiv_version: 1604.01578v1 · doi: 10.48550/arxiv.1604.01578 · pith_short_12: DYOSZNEVPISL · pith_short_16: DYOSZNEVPISL6ECU · pith_short_8: DYOSZNEV

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/DYOSZNEVPISL6ECUOOK3GCEANY \
  | 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: 1e1d2cb4957a24bf10547395b308806e3de57e5dca4d4473804600c20dc7e95f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e02441f887a9520e8a4e5b29062c3402c0137c126776fb3d24a1bb0fe625f1e1",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-04-06T11:46:17Z",
    "title_canon_sha256": "3cba895cd1f2c8cd3e17b3bbb843f8bc771a53ef0b2e872dd906d4d2fece03b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.01578",
    "kind": "arxiv",
    "version": 1
  }
}