Pith Number

pith:SDGTSGU3

pith:2019:SDGTSGU3SX5LMH5H6WWN6N7H2X

not attested not anchored not stored refs pending

Fast and slow points of Birkhoff sums

Fr\'ed\'eric Bayart (LMBP), Yanick Heurteaux (LMBP), Zoltan Buczolich (ELTE)

arxiv:1901.03504 v1 · 2019-01-11 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SDGTSGU3SX5LMH5H6WWN6N7H2X}

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	2026-05-17T23:56:31.082184Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90cd391a9b95fab61fa7f5acdf37e7d5ea58063fada19a0dfa26f7e9a563b82f

Aliases

arxiv: 1901.03504 · arxiv_version: 1901.03504v1 · doi: 10.48550/arxiv.1901.03504 · pith_short_12: SDGTSGU3SX5L · pith_short_16: SDGTSGU3SX5LMH5H · pith_short_8: SDGTSGU3

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/SDGTSGU3SX5LMH5H6WWN6N7H2X \
  | 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: 90cd391a9b95fab61fa7f5acdf37e7d5ea58063fada19a0dfa26f7e9a563b82f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ef8312ff683412564174d375c79dbec0498c39087984556174d1c1bd8579b45",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-01-11T08:22:05Z",
    "title_canon_sha256": "8ecec3e603bd383ac641791662aaa514c81ea04b3dc24d173b64f403eb21f377"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.03504",
    "kind": "arxiv",
    "version": 1
  }
}