Pith Number

pith:CN4WULDB

pith:2013:CN4WULDB2DLAHVLZLF5ILMRUEX

not attested not anchored not stored refs pending

On quasihomomorphisms with noncommutative targets

Koji Fujiwara, Michael Kapovich

arxiv:1312.7407 v2 · 2013-12-28 · 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{CN4WULDB2DLAHVLZLF5ILMRUEX}

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	2026-05-18T01:37:11.606070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13796a2c61d0d603d579597a85b23425ce5d006a4327129b2aa148906aee8108

Aliases

arxiv: 1312.7407 · arxiv_version: 1312.7407v2 · doi: 10.48550/arxiv.1312.7407 · pith_short_12: CN4WULDB2DLA · pith_short_16: CN4WULDB2DLAHVLZ · pith_short_8: CN4WULDB

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/CN4WULDB2DLAHVLZLF5ILMRUEX \
  | 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: 13796a2c61d0d603d579597a85b23425ce5d006a4327129b2aa148906aee8108

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2573396cb397adad2f65b191718e2407816d60221ba41b20b70de130a4753bf5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-12-28T08:34:16Z",
    "title_canon_sha256": "b8fbd9149fc1d6f4138c47928dc9e349f114e9ebbb18db7d160007c71488d10d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.7407",
    "kind": "arxiv",
    "version": 2
  }
}