Pith Number

pith:U2E4MT2U

pith:2019:U2E4MT2UT4L3O5JWXXJBQJ7FK6

not attested not anchored not stored refs pending

On Roth type conditions, duality and central Birkhoff sums for i.e.m

Corinna Ulcigrai, Jean-Christophe Yoccoz, Stefano Marmi

arxiv:1901.09191 v1 · 2019-01-26 · math.DS · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U2E4MT2UT4L3O5JWXXJBQJ7FK6}

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	2026-05-17T23:55:26.641614Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a689c64f549f17b77536bdd21827e557a37014c1a7e334dc5f94e2fd0b0baed6

Aliases

arxiv: 1901.09191 · arxiv_version: 1901.09191v1 · doi: 10.48550/arxiv.1901.09191 · pith_short_12: U2E4MT2UT4L3 · pith_short_16: U2E4MT2UT4L3O5JW · pith_short_8: U2E4MT2U

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/U2E4MT2UT4L3O5JWXXJBQJ7FK6 \
  | 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: a689c64f549f17b77536bdd21827e557a37014c1a7e334dc5f94e2fd0b0baed6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4947ba86c0573efdfa9ea593dd2903062597207c65851c5884ccc063cf1acee5",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-01-26T10:08:56Z",
    "title_canon_sha256": "18de48c1933bc9ce79372f94823322fc71869d3da326ba2355a7ae27c2cd36a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.09191",
    "kind": "arxiv",
    "version": 1
  }
}