Pith Number

pith:VPRWGFGT

pith:2011:VPRWGFGTORB3GZ7Z5AKRDYBIJ7

not attested not anchored not stored refs pending

On G-sets and Isospectrality

Ori Parzanchevski

arxiv:1104.0315 v2 · 2011-04-02 · 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{VPRWGFGTORB3GZ7Z5AKRDYBIJ7}

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	2026-05-18T02:43:37.326060Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abe36314d37443b367f9e81511e0284fd2bf0f14eaee01c340657d0f5694e25e

Aliases

arxiv: 1104.0315 · arxiv_version: 1104.0315v2 · doi: 10.48550/arxiv.1104.0315 · pith_short_12: VPRWGFGTORB3 · pith_short_16: VPRWGFGTORB3GZ7Z · pith_short_8: VPRWGFGT

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/VPRWGFGTORB3GZ7Z5AKRDYBIJ7 \
  | 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: abe36314d37443b367f9e81511e0284fd2bf0f14eaee01c340657d0f5694e25e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "caea5e5e5acf76128209e971caa47b8da4c50311544f994ea2f75d16528728e5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-04-02T13:50:26Z",
    "title_canon_sha256": "a897ae9ec795d329316c7da4bf60489f878ea042ce702597a7219c12a89b2fd3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.0315",
    "kind": "arxiv",
    "version": 2
  }
}