Pith Number

pith:4B3HJPDJ

pith:2026:4B3HJPDJWLIUX33OZASAMMOIGN

not attested not anchored not stored refs pending

A study of maximal shifts in the minimal graded free resolution of the residue field

Adela Vraciu, Dinesh Limbu, Liana M. \c{S}ega

arxiv:2606.07456 v1 · 2026-06-05 · 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{4B3HJPDJWLIUX33OZASAMMOIGN}

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	2026-06-08T01:05:28.139120Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e07674bc69b2d14bef6ec8240631c833433c80c3d47614cb7c0190a3e2985685

Aliases

arxiv: 2606.07456 · arxiv_version: 2606.07456v1 · doi: 10.48550/arxiv.2606.07456 · pith_short_12: 4B3HJPDJWLIU · pith_short_16: 4B3HJPDJWLIUX33O · pith_short_8: 4B3HJPDJ

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/4B3HJPDJWLIUX33OZASAMMOIGN \
  | 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: e07674bc69b2d14bef6ec8240631c833433c80c3d47614cb7c0190a3e2985685

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21e9c0476907e94db3d3a1d000991ee51bb8d790f5b7007fb27c3f4f7f15bbd1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2026-06-05T17:03:34Z",
    "title_canon_sha256": "aaad603ea112742e3816423ea627aa7d23336017f9aca1551814b1bb32d6f30e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.07456",
    "kind": "arxiv",
    "version": 1
  }
}