Pith Number

pith:CJ73GS44

pith:2022:CJ73GS446WVS5FEW6VQS3SJFJX

not attested not anchored not stored refs pending

On the fixed part of pluricanonical systems for surfaces

Jihao Liu, Lingyao Xie

arxiv:2202.11260 v1 · 2022-02-23 · 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{CJ73GS446WVS5FEW6VQS3SJFJX}

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	2026-07-05T03:59:30.261198Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

127fb34b9cf5ab2e9496f5612dc9254dd81b23f55bea7b4b505018bd53f674f2

Aliases

arxiv: 2202.11260 · arxiv_version: 2202.11260v1 · doi: 10.48550/arxiv.2202.11260 · pith_short_12: CJ73GS446WVS · pith_short_16: CJ73GS446WVS5FEW · pith_short_8: CJ73GS44

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/CJ73GS446WVS5FEW6VQS3SJFJX \
  | 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: 127fb34b9cf5ab2e9496f5612dc9254dd81b23f55bea7b4b505018bd53f674f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7802525a627a69d286eebf35014cdfaed37f9f8204aed7ef3f891dee1282d558",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2022-02-23T01:34:45Z",
    "title_canon_sha256": "466e5dfbdf63fe3e6723151ade47b3a1f67a8d79339fe557ec0aaef0eb17886c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2202.11260",
    "kind": "arxiv",
    "version": 1
  }
}