Pith Number

pith:ACRMP34F

pith:2017:ACRMP34FZWH5OTECDV5REBHKNY

not attested not anchored not stored refs pending

Lifting divisors with imposed ramifications on a generic chain of loops

Xiang He

arxiv:1710.02288 v1 · 2017-10-06 · 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{ACRMP34FZWH5OTECDV5REBHKNY}

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	2026-05-18T00:33:33.900603Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00a2c7ef85cd8fd74c821d7b1204ea6e0f33d2c3a66448d39e4a73ce40179b47

Aliases

arxiv: 1710.02288 · arxiv_version: 1710.02288v1 · doi: 10.48550/arxiv.1710.02288 · pith_short_12: ACRMP34FZWH5 · pith_short_16: ACRMP34FZWH5OTEC · pith_short_8: ACRMP34F

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/ACRMP34FZWH5OTECDV5REBHKNY \
  | 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: 00a2c7ef85cd8fd74c821d7b1204ea6e0f33d2c3a66448d39e4a73ce40179b47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac3b937842f0f554fb068730f71089e50fd53f08a55f4602fd8e8034984409e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-10-06T06:54:50Z",
    "title_canon_sha256": "a029ad806c91320fce2d26c1b93d2f9e8bf6f6e4e29e13e7ba1960a52fa07949"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.02288",
    "kind": "arxiv",
    "version": 1
  }
}