Pith Number

pith:5CAYJ7RH

pith:2026:5CAYJ7RHXLCRFSMIK6ANFPCCTK

not attested not anchored not stored refs pending

Restrictions on the Betti tables of licci ideals

Bernd Ulrich, Claudia Polini, Craig Huneke

arxiv:2608.06019 v1 · 2026-08-06 · 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{5CAYJ7RHXLCRFSMIK6ANFPCCTK}

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	2026-08-07T00:55:05.376357Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e88184fe27bac512c9885780d2bc429a977b185dbcfc107c358cdd17680abceb

Aliases

arxiv: 2608.06019 · arxiv_version: 2608.06019v1 · doi: 10.48550/arxiv.2608.06019 · pith_short_12: 5CAYJ7RHXLCR · pith_short_16: 5CAYJ7RHXLCRFSMI · pith_short_8: 5CAYJ7RH

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/5CAYJ7RHXLCRFSMIK6ANFPCCTK \
  | 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: e88184fe27bac512c9885780d2bc429a977b185dbcfc107c358cdd17680abceb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97f0cce692745eda5837a45e809040e019351b849038ef0777e1e3e7a89d57b6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2026-08-06T13:24:31Z",
    "title_canon_sha256": "75b95bce3c22a008546e5489bea78378cd68d49a1c30d0ccf2ff1765b2cbc394"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.06019",
    "kind": "arxiv",
    "version": 1
  }
}