Pith Number

pith:IRE57CJ3

pith:2023:IRE57CJ3SQGANP6MP5PMBCWUZ2

not attested not anchored not stored refs pending

Singularities of divisors of small degrees on abelian varieties

Hui Liu, Zhi Jiang

arxiv:2305.15687 v2 · 2023-05-25 · 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{IRE57CJ3SQGANP6MP5PMBCWUZ2}

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	2026-07-05T06:15:47.515652Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4449df893b940c06bfcc7f5ec08ad4cebaeded13c875d048131556b22ed129a9

Aliases

arxiv: 2305.15687 · arxiv_version: 2305.15687v2 · doi: 10.48550/arxiv.2305.15687 · pith_short_12: IRE57CJ3SQGA · pith_short_16: IRE57CJ3SQGANP6M · pith_short_8: IRE57CJ3

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/IRE57CJ3SQGANP6MP5PMBCWUZ2 \
  | 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: 4449df893b940c06bfcc7f5ec08ad4cebaeded13c875d048131556b22ed129a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aeb4bc550f6e9ebe26a5adf253fed6ac1b030ca574a64443826caef9703a6b8d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2023-05-25T03:33:06Z",
    "title_canon_sha256": "501b6a2a19b313818e40c0a619ea03969539929024a543903160b477965a1e04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.15687",
    "kind": "arxiv",
    "version": 2
  }
}