Pith Number

pith:AILD2R43

pith:2019:AILD2R43M6H5CZ4QL4YBUOL6UH

not attested not anchored not stored refs pending

Optimal bounds for B\"uchi's problem in modular arithmetic II

Maxim Vsemirnov, Pablo S\'aez, Xavier Vidaux

arxiv:1905.01411 v1 · 2019-05-04 · 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{AILD2R43M6H5CZ4QL4YBUOL6UH}

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	2026-05-17T23:47:00.734229Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02163d479b678fd167905f301a397ea1ce03ea269a7bf7cf696fd825b7923a59

Aliases

arxiv: 1905.01411 · arxiv_version: 1905.01411v1 · doi: 10.48550/arxiv.1905.01411 · pith_short_12: AILD2R43M6H5 · pith_short_16: AILD2R43M6H5CZ4Q · pith_short_8: AILD2R43

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/AILD2R43M6H5CZ4QL4YBUOL6UH \
  | 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: 02163d479b678fd167905f301a397ea1ce03ea269a7bf7cf696fd825b7923a59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "425e533953d6dd4c7d79ed65c4b9705fe4d838b0a7ae3f3d47879bff4a4857a4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-05-04T02:22:45Z",
    "title_canon_sha256": "74138f094cf340e9ce98649f5a51a6ffa8db1abcc8d343ddaf8ebb637ee494ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.01411",
    "kind": "arxiv",
    "version": 1
  }
}