Pith Number

pith:4OIYHZQ4

pith:2023:4OIYHZQ4VDAJNKSYEHTEYV3EG2

not attested not anchored not stored refs pending

Bad is null

Anish Ghosh, Benjamin Ward, Shreyasi Datta, Victor Beresnevich

arxiv:2307.10109 v1 · 2023-07-19 · math.NT · 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{4OIYHZQ4VDAJNKSYEHTEYV3EG2}

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.

Cited by

1 paper in Pith

A note on limsup sets of annuli

Receipt and verification

First computed	2026-07-05T06:32:50.727266Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e39183e61ca8c096aa5821e64c576436893b2ffc478df4bb731139657b968e19

Aliases

arxiv: 2307.10109 · arxiv_version: 2307.10109v1 · doi: 10.48550/arxiv.2307.10109 · pith_short_12: 4OIYHZQ4VDAJ · pith_short_16: 4OIYHZQ4VDAJNKSY · pith_short_8: 4OIYHZQ4

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/4OIYHZQ4VDAJNKSYEHTEYV3EG2 \
  | 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: e39183e61ca8c096aa5821e64c576436893b2ffc478df4bb731139657b968e19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3af1d70d3f8f01ccef939fa10efd78447143a1d8c691eb12301d26f04031b638",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2023-07-19T16:33:57Z",
    "title_canon_sha256": "f60fe349c8ae8fe718231806da92cae7c59e2aec10c6258adb8eb2675fd647bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.10109",
    "kind": "arxiv",
    "version": 1
  }
}