Pith Number

pith:Q5TOXDWR

pith:2015:Q5TOXDWRTMNBNLHXGGLHOMWZOL

not attested not anchored not stored refs pending

Groups Acting on Metric Spaces with Asymptotic Property C

Susan Beckhardt

arxiv:1508.01265 v1 · 2015-08-06 · math.GT · 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{Q5TOXDWRTMNBNLHXGGLHOMWZOL}

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	2026-05-18T01:35:43.031359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8766eb8ed19b1a16acf731967732d972db67c07a3d6316d6f9275bd8bcec42e0

Aliases

arxiv: 1508.01265 · arxiv_version: 1508.01265v1 · doi: 10.48550/arxiv.1508.01265 · pith_short_12: Q5TOXDWRTMNB · pith_short_16: Q5TOXDWRTMNBNLHX · pith_short_8: Q5TOXDWR

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/Q5TOXDWRTMNBNLHXGGLHOMWZOL \
  | 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: 8766eb8ed19b1a16acf731967732d972db67c07a3d6316d6f9275bd8bcec42e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e409bc25a4579dea55fccacc8707c4097e283954b094d24c2eaa39845cef7a3",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-08-06T02:30:38Z",
    "title_canon_sha256": "1836d589d33a37e72c63a0e8bb0a48a6f4ac771bde5f3bb6d150030964c78f0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.01265",
    "kind": "arxiv",
    "version": 1
  }
}