Pith Number

pith:D3Y2ZVHI

pith:2011:D3Y2ZVHIAVYILFYW4MIBNNU4EV

not attested not anchored not stored refs pending

Dehn functions and finiteness properties of subgroups of perturbed right-angled Artin groups

Dan Guralnik, Noel Brady, Sang Rae Lee

arxiv:1102.5551 v1 · 2011-02-27 · math.GR · 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{D3Y2ZVHIAVYILFYW4MIBNNU4EV}

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	2026-05-18T04:27:46.588251Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ef1acd4e80570859716e31016b69c255fd74de589230b46ee54b3d928078953

Aliases

arxiv: 1102.5551 · arxiv_version: 1102.5551v1 · doi: 10.48550/arxiv.1102.5551 · pith_short_12: D3Y2ZVHIAVYI · pith_short_16: D3Y2ZVHIAVYILFYW · pith_short_8: D3Y2ZVHI

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/D3Y2ZVHIAVYILFYW4MIBNNU4EV \
  | 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: 1ef1acd4e80570859716e31016b69c255fd74de589230b46ee54b3d928078953

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e11bd079ee9aa506183efca56dd256606eeda49b196a2691940cb786454ccf0",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-02-27T21:40:51Z",
    "title_canon_sha256": "66d1f022e908dc81217f1f113d90eeaf9ab1952207854d71fdcabde6d4c3b47d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.5551",
    "kind": "arxiv",
    "version": 1
  }
}