Pith Number

pith:ZQAOOS2K

pith:2014:ZQAOOS2KEHOAN7CQF6YYERYIIW

not attested not anchored not stored refs pending

Stallings graphs for quasi-convex subgroups

Alexei Miasnikov, Olga Kharlampovich, Pascal Weil

arxiv:1408.1917 v3 · 2014-08-08 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZQAOOS2KEHOAN7CQF6YYERYIIW}

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	2026-05-18T00:26:58.079199Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc00e74b4a21dc06fc502fb182470845928f09663b886c60eea909b07a014880

Aliases

arxiv: 1408.1917 · arxiv_version: 1408.1917v3 · doi: 10.48550/arxiv.1408.1917 · pith_short_12: ZQAOOS2KEHOA · pith_short_16: ZQAOOS2KEHOAN7CQ · pith_short_8: ZQAOOS2K

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/ZQAOOS2KEHOAN7CQF6YYERYIIW \
  | 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: cc00e74b4a21dc06fc502fb182470845928f09663b886c60eea909b07a014880

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "046688acdeede38072e2a384128aa19b247575cf9503269748b006ef3f93f932",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-08-08T17:10:16Z",
    "title_canon_sha256": "6c65845888c4132068a77780a253e6416e7767d9df9c949e3f36ed588a230a8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.1917",
    "kind": "arxiv",
    "version": 3
  }
}