Pith Number

pith:BEM3ZRCZ

pith:2024:BEM3ZRCZAKRNHYTFZ6352FFAWG

not attested not anchored not stored refs pending

An explicit version of Carlson's theorem

Shashi Chourasiya

arxiv:2412.02068 v1 · 2024-12-03 · 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{BEM3ZRCZAKRNHYTFZ6352FFAWG}

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	2026-07-05T09:43:43.512796Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0919bcc45902a2d3e265cfb7dd14a0b182fcd3d4191a6a0a609dcdc08e0d5a41

Aliases

arxiv: 2412.02068 · arxiv_version: 2412.02068v1 · doi: 10.48550/arxiv.2412.02068 · pith_short_12: BEM3ZRCZAKRN · pith_short_16: BEM3ZRCZAKRNHYTF · pith_short_8: BEM3ZRCZ

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/BEM3ZRCZAKRNHYTFZ6352FFAWG \
  | 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: 0919bcc45902a2d3e265cfb7dd14a0b182fcd3d4191a6a0a609dcdc08e0d5a41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55fd7db863e09d052df0dcf44e663729cea7aa4cd81d8363474f1ac6be176af4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-12-03T01:15:49Z",
    "title_canon_sha256": "54d62bb9fc8566a38f59ae5e9d2fcae7943eab8975f28e123b2475a0ba9e8e5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.02068",
    "kind": "arxiv",
    "version": 1
  }
}