Pith Number

pith:PV7YTIH5

pith:2019:PV7YTIH5IXIY3EVF5TYNC5G4PD

not attested not anchored not stored refs pending

Virtual Specialness of certain graphs of special cube complexes

Daniel T. Wise, Jingyin Huang

arxiv:1904.06799 v1 · 2019-04-15 · 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{PV7YTIH5IXIY3EVF5TYNC5G4PD}

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	2026-05-17T23:48:36.198240Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d7f89a0fd45d18d92a5ecf0d174dc78e6a5d55c205eb7f8356c3fc3808a43bf

Aliases

arxiv: 1904.06799 · arxiv_version: 1904.06799v1 · doi: 10.48550/arxiv.1904.06799 · pith_short_12: PV7YTIH5IXIY · pith_short_16: PV7YTIH5IXIY3EVF · pith_short_8: PV7YTIH5

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/PV7YTIH5IXIY3EVF5TYNC5G4PD \
  | 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: 7d7f89a0fd45d18d92a5ecf0d174dc78e6a5d55c205eb7f8356c3fc3808a43bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73610ff3e574bc8d09a79a0cb36f05a44ad1f899836713fd931d41f2d77ff6a6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-04-15T01:08:58Z",
    "title_canon_sha256": "476069631cb422c177b7503e0c3c2cbecf44f7d85f4735a8856fcef17cc47205"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.06799",
    "kind": "arxiv",
    "version": 1
  }
}