Pith Number

pith:3NGOKV7D

pith:2016:3NGOKV7DU22FTTQOP4V2D2IG22

not attested not anchored not stored refs pending

Bounding Betti numbers of monomial ideals in the exterior algebra

Carmela Ferro', Marilena Crupi

arxiv:1602.08864 v1 · 2016-02-29 · 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{3NGOKV7DU22FTTQOP4V2D2IG22}

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	2026-05-18T01:19:51.803502Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db4ce557e3a6b459ce0e7f2ba1e906d68855c65d875c43b601ea02e8d4eb7f26

Aliases

arxiv: 1602.08864 · arxiv_version: 1602.08864v1 · doi: 10.48550/arxiv.1602.08864 · pith_short_12: 3NGOKV7DU22F · pith_short_16: 3NGOKV7DU22FTTQO · pith_short_8: 3NGOKV7D

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/3NGOKV7DU22FTTQOP4V2D2IG22 \
  | 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: db4ce557e3a6b459ce0e7f2ba1e906d68855c65d875c43b601ea02e8d4eb7f26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5737360317cea55b99c11f154d84ae5a08474e6e8bec528c954b9b2ebb005780",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-02-29T08:51:48Z",
    "title_canon_sha256": "4008055b432b812465d0aa2ff77174452c9a27cb6c8be722510cab17ddd83ed2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.08864",
    "kind": "arxiv",
    "version": 1
  }
}