Pith Number

pith:MIKWJJ3S

pith:2019:MIKWJJ3SSTEXKW2WTBA7N7ZON3

not attested not anchored not stored refs pending

Inapproximability of actions and Kazhdan's property (T)

Andreas Thom, Gabor Kun

arxiv:1901.03963 v2 · 2019-01-13 · 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{MIKWJJ3SSTEXKW2WTBA7N7ZON3}

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	2026-05-17T23:56:22.614760Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

621564a77294c9755b569841f6ff2e6ec8af722766a05f51eaf344247dddb29c

Aliases

arxiv: 1901.03963 · arxiv_version: 1901.03963v2 · doi: 10.48550/arxiv.1901.03963 · pith_short_12: MIKWJJ3SSTEX · pith_short_16: MIKWJJ3SSTEXKW2W · pith_short_8: MIKWJJ3S

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/MIKWJJ3SSTEXKW2WTBA7N7ZON3 \
  | 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: 621564a77294c9755b569841f6ff2e6ec8af722766a05f51eaf344247dddb29c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e301482e853dd2d91a7111784f5128c069d9a64688b3147c5d5e87434959480",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-01-13T11:56:50Z",
    "title_canon_sha256": "4e99831faf44079899b5c72f45a8334643b267cf970e7391c864343f2957ad2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.03963",
    "kind": "arxiv",
    "version": 2
  }
}