Pith Number

pith:SVQYW3GT

pith:2026:SVQYW3GTHKWITSWWRPHVQDXMML

not attested not anchored not stored refs pending

Improved algebraic fibrations of high-dimensional hyperbolic groups

Andrew Ng, Giovanni Italiano, Matteo Migliorini

arxiv:2606.05091 v1 · 2026-06-03 · 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{SVQYW3GTHKWITSWWRPHVQDXMML}

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	2026-06-04T01:10:05.820240Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95618b6cd33aac89cad68bcf580eec62cbc9b12a029884ef3e8a5410a9216056

Aliases

arxiv: 2606.05091 · arxiv_version: 2606.05091v1 · doi: 10.48550/arxiv.2606.05091 · pith_short_12: SVQYW3GTHKWI · pith_short_16: SVQYW3GTHKWITSWW · pith_short_8: SVQYW3GT

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/SVQYW3GTHKWITSWWRPHVQDXMML \
  | 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: 95618b6cd33aac89cad68bcf580eec62cbc9b12a029884ef3e8a5410a9216056

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6703f098c6e20a3d5869ca0d0f1ed8ed44c176670fab832d46659306ff427852",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-06-03T16:56:19Z",
    "title_canon_sha256": "a3a855c497472ea74d60362c85a53b0516796a9e43e63cc318e2a6641864e42d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.05091",
    "kind": "arxiv",
    "version": 1
  }
}