Pith Number

pith:GXO4DHVX

pith:2016:GXO4DHVXYCJXFLJSBCXJJ2QAXN

not attested not anchored not stored refs pending

Solvable Lie algebras and graphs

Gueo Grantcharov, Plamen Iliev, Vladimir Grantcharov

arxiv:1604.07856 v2 · 2016-04-26 · math.RA · math.CO · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GXO4DHVXYCJXFLJSBCXJJ2QAXN}

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	2026-05-18T00:34:44.853161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35ddc19eb7c09372ad3208ae94ea00bb631ad5562414ba0ca1bc0d6c748c3a45

Aliases

arxiv: 1604.07856 · arxiv_version: 1604.07856v2 · doi: 10.48550/arxiv.1604.07856 · pith_short_12: GXO4DHVXYCJX · pith_short_16: GXO4DHVXYCJXFLJS · pith_short_8: GXO4DHVX

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/GXO4DHVXYCJXFLJSBCXJJ2QAXN \
  | 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: 35ddc19eb7c09372ad3208ae94ea00bb631ad5562414ba0ca1bc0d6c748c3a45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b77718e843e139ae88db03e446859ee9f920cca3da4285d32c076ed13a1b034a",
    "cross_cats_sorted": [
      "math.CO",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2016-04-26T20:58:44Z",
    "title_canon_sha256": "a138eb9d3836e71eec4fc3ddeb165c5979dd40174e96e9f015e5b7d72d643e84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.07856",
    "kind": "arxiv",
    "version": 2
  }
}