Pith Number

pith:UYKBDLMP

pith:2016:UYKBDLMPCPDMJ7XVZWO7RYWFM4

not attested not anchored not stored refs pending

On stability of asymptotic property C for products and some group extensions

A. Nag\'orko, G. Bell

arxiv:1607.05181 v2 · 2016-07-18 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UYKBDLMPCPDMJ7XVZWO7RYWFM4}

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	2026-05-18T00:20:59.321727Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a61411ad8f13c6c4fef5cd9df8e2c5673c9b05e77168a04a3b746eee67cf1dba

Aliases

arxiv: 1607.05181 · arxiv_version: 1607.05181v2 · doi: 10.48550/arxiv.1607.05181 · pith_short_12: UYKBDLMPCPDM · pith_short_16: UYKBDLMPCPDMJ7XV · pith_short_8: UYKBDLMP

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/UYKBDLMPCPDMJ7XVZWO7RYWFM4 \
  | 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: a61411ad8f13c6c4fef5cd9df8e2c5673c9b05e77168a04a3b746eee67cf1dba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83c48511ec5f11aa34764b73fd6227df640bfd5d67bc0b61ca954f197358652e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-07-18T16:55:29Z",
    "title_canon_sha256": "666a672bdb65e4973f1857e536b883cb6a9f66c081bd64d68edd2bb15c4f1ce1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.05181",
    "kind": "arxiv",
    "version": 2
  }
}