Pith Number

pith:GGWEFEII

pith:2014:GGWEFEIIAVXGJ646KKOBFJAAHK

not attested not anchored not stored refs pending

The Stanley Depth in the Upper Half of the Koszul Complex

Lukas Katth\"an, Richard Sieg

arxiv:1408.5727 v2 · 2014-08-25 · math.CO · 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{GGWEFEIIAVXGJ646KKOBFJAAHK}

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	2026-05-18T02:35:47.041143Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31ac429108056e64fb9e529c12a4003abee457f3e1cd2db30f9df44d565cf510

Aliases

arxiv: 1408.5727 · arxiv_version: 1408.5727v2 · doi: 10.48550/arxiv.1408.5727 · pith_short_12: GGWEFEIIAVXG · pith_short_16: GGWEFEIIAVXGJ646 · pith_short_8: GGWEFEII

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/GGWEFEIIAVXGJ646KKOBFJAAHK \
  | 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: 31ac429108056e64fb9e529c12a4003abee457f3e1cd2db30f9df44d565cf510

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e59aece46fdee27da8a7c8c68605bb8e9e20ce9cf7b718e16cc986c9ba74af90",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-08-25T11:48:31Z",
    "title_canon_sha256": "c7426baedc82eec44344e60266a657001b2ee8e77e4180ced6f8225cd22d48a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.5727",
    "kind": "arxiv",
    "version": 2
  }
}