Pith Number

pith:L6DAJCOO

pith:2016:L6DAJCOOG6I2QN2O5BKSBEAA3E

not attested not anchored not stored refs pending

Negative curvature in graphical small cancellation groups

Christopher H. Cashen, David Hume, Dominik Gruber, Goulnara N. Arzhantseva

arxiv:1602.03767 v3 · 2016-02-11 · math.GR · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L6DAJCOOG6I2QN2O5BKSBEAA3E}

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

Relative bounded cohomology on groups with contracting elements

Receipt and verification

First computed	2026-05-17T23:46:55.917674Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f860489ce3791a8374ee855209000d90318c41a4fece14ac7d13ffe1fe28bfa

Aliases

arxiv: 1602.03767 · arxiv_version: 1602.03767v3 · doi: 10.48550/arxiv.1602.03767 · pith_short_12: L6DAJCOOG6I2 · pith_short_16: L6DAJCOOG6I2QN2O · pith_short_8: L6DAJCOO

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/L6DAJCOOG6I2QN2O5BKSBEAA3E \
  | 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: 5f860489ce3791a8374ee855209000d90318c41a4fece14ac7d13ffe1fe28bfa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf19b050b8e5b51b84b39d375857d26de4e762b614efc62603b09f9a139301af",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-02-11T15:23:48Z",
    "title_canon_sha256": "f20ab5576eccb3669c6e5b70b87ef2216ca5dec8eb25402124cf014db359c70a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.03767",
    "kind": "arxiv",
    "version": 3
  }
}