Pith Number

pith:C66CNN2X

pith:2022:C66CNN2X4TEGHOXNHOZAHMCQPM

not attested not anchored not stored refs pending

Residue functions and Extension problems

Tsz On Mario Chan

arxiv:2211.00885 v2 · 2022-11-02 · math.CV · 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{C66CNN2X4TEGHOXNHOZAHMCQPM}

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	2026-07-05T05:58:17.844863Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17bc26b757e4c863baed3bb203b0507b1d9fb7f71a23577cedee7e371f4d2c6e

Aliases

arxiv: 2211.00885 · arxiv_version: 2211.00885v2 · doi: 10.48550/arxiv.2211.00885 · pith_short_12: C66CNN2X4TEG · pith_short_16: C66CNN2X4TEGHOXN · pith_short_8: C66CNN2X

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/C66CNN2X4TEGHOXNHOZAHMCQPM \
  | 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: 17bc26b757e4c863baed3bb203b0507b1d9fb7f71a23577cedee7e371f4d2c6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b8086913e68041a0d922200b8e380a6f60871304af8d0ec28acb6a29bd633c8",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2022-11-02T05:09:18Z",
    "title_canon_sha256": "6fbc49cdf1a5369037b096f43be55e8169750aa9766ae2e3215d9dca292a1916"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.00885",
    "kind": "arxiv",
    "version": 2
  }
}