Pith Number

pith:ZIEWM5W3

pith:2015:ZIEWM5W3XMVOBG3WHYZO4X2GTZ

not attested not anchored not stored refs pending

Filtrations and Homological degrees of FI-modules

Liping Li, Nina Yu

arxiv:1511.02977 v3 · 2015-11-10 · math.RT · math.KT · math.RA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZIEWM5W3XMVOBG3WHYZO4X2GTZ}

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	2026-05-18T00:59:26.360553Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca096676dbbb2ae09b763e32ee5f469e5afe383f0553d41398b06d347d9a17f9

Aliases

arxiv: 1511.02977 · arxiv_version: 1511.02977v3 · doi: 10.48550/arxiv.1511.02977 · pith_short_12: ZIEWM5W3XMVO · pith_short_16: ZIEWM5W3XMVOBG3W · pith_short_8: ZIEWM5W3

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/ZIEWM5W3XMVOBG3WHYZO4X2GTZ \
  | 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: ca096676dbbb2ae09b763e32ee5f469e5afe383f0553d41398b06d347d9a17f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd94fba6dddfa76a1d81b671dcc4c7d8ff36585449567dd79d8dffbe451fd73d",
    "cross_cats_sorted": [
      "math.KT",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-11-10T02:57:40Z",
    "title_canon_sha256": "254ce25ae9e04c38594ef9c37c5e0232560cf0bbd309d2e4900c50ab8ca58c64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.02977",
    "kind": "arxiv",
    "version": 3
  }
}