Pith Number

pith:4OTO2XAH

pith:2019:4OTO2XAH3JRFO4RYP3S66AJKRI

not attested not anchored not stored refs pending

Fiber invariants of projective morphisms and regularity of powers of ideals

Abu Chackalamannil Thomas, Huy Tai Ha, Sankhaneel Bisui

arxiv:1901.04425 v1 · 2019-01-14 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4OTO2XAH3JRFO4RYP3S66AJKRI}

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	2026-05-17T23:56:25.603130Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3a6ed5c07da625772387ee5ef012a8a30e19c20f78869c7127d0bcab9cc72c2

Aliases

arxiv: 1901.04425 · arxiv_version: 1901.04425v1 · doi: 10.48550/arxiv.1901.04425 · pith_short_12: 4OTO2XAH3JRF · pith_short_16: 4OTO2XAH3JRFO4RY · pith_short_8: 4OTO2XAH

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/4OTO2XAH3JRFO4RYP3S66AJKRI \
  | 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: e3a6ed5c07da625772387ee5ef012a8a30e19c20f78869c7127d0bcab9cc72c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "951378bc791a3cb407c5160e89d4be8a42724dd7446fe500e2ccde0e7b1faee7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2019-01-14T17:51:32Z",
    "title_canon_sha256": "bf1f3ab16f65ca51ca305bd2ea15c73b9a5cf2008a1feac32b4a0c5bb6cca672"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.04425",
    "kind": "arxiv",
    "version": 1
  }
}