Pith Number

pith:4GVIA54I

pith:2018:4GVIA54I3ZNS3K2KETR4PQ75DS

not attested not anchored not stored refs pending

Algorithmic problems in right-angled Artin groups: complexity and applications

Delaram Kahrobaei, Ram\'on Flores, Thomas Koberda

arxiv:1802.04870 v3 · 2018-02-13 · math.GR · math.AT · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4GVIA54I3ZNS3K2KETR4PQ75DS}

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	2026-05-18T00:01:53.435851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1aa807788de5b2dab4a24e3c7c3fd1c854fa02239ee79e8d15414620cbaa269

Aliases

arxiv: 1802.04870 · arxiv_version: 1802.04870v3 · doi: 10.48550/arxiv.1802.04870 · pith_short_12: 4GVIA54I3ZNS · pith_short_16: 4GVIA54I3ZNS3K2K · pith_short_8: 4GVIA54I

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/4GVIA54I3ZNS3K2KETR4PQ75DS \
  | 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: e1aa807788de5b2dab4a24e3c7c3fd1c854fa02239ee79e8d15414620cbaa269

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6020c9172c5182870b18b55593841eb1cb71e3af35053b468a7ebbc620450c6",
    "cross_cats_sorted": [
      "math.AT",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-02-13T21:48:14Z",
    "title_canon_sha256": "311b96e773fff1cc686d15c0ed3d5dbbea8463e504545b496b80401c795fa3fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.04870",
    "kind": "arxiv",
    "version": 3
  }
}