Pith Number

pith:3VCKKBL3

pith:2015:3VCKKBL32YUXB4F4WXFTALYKGO

not attested not anchored not stored refs pending

Minimal Graded Free Resolution for Monomial Curves in $\mathbb{A}^{4}$ defined by almost arithmetic sequences

Achintya Kumar Roy, Gaurab Tripathi, Indranath Sengupta

arxiv:1503.02687 v2 · 2015-03-09 · 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{3VCKKBL32YUXB4F4WXFTALYKGO}

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	2026-05-18T01:23:32.253568Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd44a5057bd62970f0bcb5cb302f0a33b567aac2957fd3029bfbba5335b10c69

Aliases

arxiv: 1503.02687 · arxiv_version: 1503.02687v2 · doi: 10.48550/arxiv.1503.02687 · pith_short_12: 3VCKKBL32YUX · pith_short_16: 3VCKKBL32YUXB4F4 · pith_short_8: 3VCKKBL3

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/3VCKKBL32YUXB4F4WXFTALYKGO \
  | 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: dd44a5057bd62970f0bcb5cb302f0a33b567aac2957fd3029bfbba5335b10c69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d853a98df416ef52cccded2eb5e5583d84b18c6dedb5dee5944a740b18ca5a01",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-03-09T20:42:41Z",
    "title_canon_sha256": "9711110c6f492c476398a272efe24ca2a00198996a00d454aabe6cbd2caac7f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.02687",
    "kind": "arxiv",
    "version": 2
  }
}