Pith Number

pith:VPHYSYNO

pith:2018:VPHYSYNOEOTF63IPWVEIG6V3YT

not attested not anchored not stored refs pending

Betti numbers of Bresinsky's curves in $\mathbb{A}^{4}$

Indranath Sengupta, Joydip Saha, Ranjana Mehta

arxiv:1801.03054 v4 · 2018-01-09 · 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{VPHYSYNOEOTF63IPWVEIG6V3YT}

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	2026-05-17T23:56:38.839479Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abcf8961ae23a65f6d0fb548837abbc4e28a1f03f08972ee7d040aa43f4ca8c8

Aliases

arxiv: 1801.03054 · arxiv_version: 1801.03054v4 · doi: 10.48550/arxiv.1801.03054 · pith_short_12: VPHYSYNOEOTF · pith_short_16: VPHYSYNOEOTF63IP · pith_short_8: VPHYSYNO

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/VPHYSYNOEOTF63IPWVEIG6V3YT \
  | 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: abcf8961ae23a65f6d0fb548837abbc4e28a1f03f08972ee7d040aa43f4ca8c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6dd4f2a3bb44f0641cec66ca877b5763fc601a524f93425ea13002b3b1b9c902",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-01-09T17:46:11Z",
    "title_canon_sha256": "37e81e6327bfc03101b674dbe136f19f5cb04da926a2a426edb715cf6e0dabf9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.03054",
    "kind": "arxiv",
    "version": 4
  }
}