Pith Number

pith:TDLMYKQN

pith:2018:TDLMYKQNFQZ2QTV3QENPHBZXFY

not attested not anchored not stored refs pending

The triangle groups (2,4,5) and (2,5,5) are not systolic

Annette Karrer, Koen Struyve, Petra Schwer

arxiv:1812.08567 v2 · 2018-12-20 · math.GR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TDLMYKQNFQZ2QTV3QENPHBZXFY}

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.

Cited by

1 paper in Pith

Weak Modularity and $\widetilde{A}_n$ Buildings

Receipt and verification

First computed	2026-07-05T01:13:05.059365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98d6cc2a0d2c33a84ebb811af387372e006b02bebc1113f895368f5163d52d52

Aliases

arxiv: 1812.08567 · arxiv_version: 1812.08567v2 · doi: 10.48550/arxiv.1812.08567 · pith_short_12: TDLMYKQNFQZ2 · pith_short_16: TDLMYKQNFQZ2QTV3 · pith_short_8: TDLMYKQN

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/TDLMYKQNFQZ2QTV3QENPHBZXFY \
  | 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: 98d6cc2a0d2c33a84ebb811af387372e006b02bebc1113f895368f5163d52d52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b202a8a9816d53f0b40f90673839d210a1a701bee98a1456d6741b1fac62e61a",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-12-20T13:58:08Z",
    "title_canon_sha256": "da92cec69327a0aef7fc09d98c07c38c2bc6f64a8554169752bdb583203faaa6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.08567",
    "kind": "arxiv",
    "version": 2
  }
}