Pith Number

pith:CKJ4RYWX

pith:2017:CKJ4RYWXLAQTYGKDCP32VVTXFG

not attested not anchored not stored refs pending

Log-canonical thresholds in real and complex dimension 2

Tristan C. Collins

arxiv:1707.08994 v2 · 2017-07-27 · math.CA · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CKJ4RYWXLAQTYGKDCP32VVTXFG}

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	2026-05-18T00:24:22.443637Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1293c8e2d758213c194313f7aad677298ec1b7ae07f9b2f6f48c13ecf221b21a

Aliases

arxiv: 1707.08994 · arxiv_version: 1707.08994v2 · doi: 10.48550/arxiv.1707.08994 · pith_short_12: CKJ4RYWXLAQT · pith_short_16: CKJ4RYWXLAQTYGKD · pith_short_8: CKJ4RYWX

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/CKJ4RYWXLAQTYGKDCP32VVTXFG \
  | 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: 1293c8e2d758213c194313f7aad677298ec1b7ae07f9b2f6f48c13ecf221b21a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5247b1bede389f36395e50d6424eda070aa40d5484a8d8376408ec2877fd9617",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-07-27T18:35:13Z",
    "title_canon_sha256": "b75aca5a64a9b8d8750eea412bb33bd33854e4c1c1145306cc9f0873a577c37e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.08994",
    "kind": "arxiv",
    "version": 2
  }
}