Pith Number

pith:MDR4IUGC

pith:2013:MDR4IUGC3FFE2FD3ADI7SOE6MX

not attested not anchored not stored refs pending

Polarization of Koszul cycles with applications to powers of edge ideals of whisker graphs

Ayesha Asloob Qureshi, J\"urgen Herzog, Takayuki Hibi

arxiv:1310.7984 v1 · 2013-10-29 · 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{MDR4IUGC3FFE2FD3ADI7SOE6MX}

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	2026-05-18T03:08:26.376447Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60e3c450c2d94a4d147b00d1f9389e65ff12bd837eefdd1b77234f732309337e

Aliases

arxiv: 1310.7984 · arxiv_version: 1310.7984v1 · doi: 10.48550/arxiv.1310.7984 · pith_short_12: MDR4IUGC3FFE · pith_short_16: MDR4IUGC3FFE2FD3 · pith_short_8: MDR4IUGC

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/MDR4IUGC3FFE2FD3ADI7SOE6MX \
  | 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: 60e3c450c2d94a4d147b00d1f9389e65ff12bd837eefdd1b77234f732309337e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e440d9a8a019354dbbda40f39519172e774258940d89d7f52a98013b12bbe3f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-10-29T23:32:43Z",
    "title_canon_sha256": "3643bbf082febfa3a31bbde2e11493f1683c2bcc379e475bca64e1d500f278ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.7984",
    "kind": "arxiv",
    "version": 1
  }
}