Pith Number

pith:7YDWVALF

pith:2015:7YDWVALFKQEGNLQUVOITE4FRFS

not attested not anchored not stored refs pending

On the Betti numbers of filiform Lie algebras over fields of characteristic two

Ioannis Tsartsaflis

arxiv:1511.03132 v1 · 2015-11-10 · 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{7YDWVALFKQEGNLQUVOITE4FRFS}

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	2026-05-18T01:27:16.932456Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe076a8165540866ae14ab913270b12c98598eefcb2fb302a67c5c57d4b033ca

Aliases

arxiv: 1511.03132 · arxiv_version: 1511.03132v1 · doi: 10.48550/arxiv.1511.03132 · pith_short_12: 7YDWVALFKQEG · pith_short_16: 7YDWVALFKQEGNLQU · pith_short_8: 7YDWVALF

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/7YDWVALFKQEGNLQUVOITE4FRFS \
  | 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: fe076a8165540866ae14ab913270b12c98598eefcb2fb302a67c5c57d4b033ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5dd15643d11d15f5f3c8357744ed434447c4c080fdfa5986d14ce948dc8f22c1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-11-10T15:14:30Z",
    "title_canon_sha256": "8c082ba35494da268192376c9eaa441a14a3a22c040da3cebccd9534d2d32bcc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.03132",
    "kind": "arxiv",
    "version": 1
  }
}