Pith Number

pith:RECFT5OU

pith:2025:RECFT5OUAUTVJTAJ72P3CH7XLF

not attested not anchored not stored refs pending

Perfect circle-valued Morse functions on hyperbolic 6-manifolds

Giovanni Italiano, Matteo Migliorini

arxiv:2503.24128 v1 · 2025-03-31 · math.GT · 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{RECFT5OUAUTVJTAJ72P3CH7XLF}

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.

Cited by

1 paper in Pith

Improved algebraic fibrations of high-dimensional hyperbolic groups

Receipt and verification

First computed	2026-07-05T10:42:04.691860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

890459f5d4052754cc09fe9fb11ff75968c317ca6d77fc38667e0f65015d01fd

Aliases

arxiv: 2503.24128 · arxiv_version: 2503.24128v1 · doi: 10.48550/arxiv.2503.24128 · pith_short_12: RECFT5OUAUTV · pith_short_16: RECFT5OUAUTVJTAJ · pith_short_8: RECFT5OU

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/RECFT5OUAUTVJTAJ72P3CH7XLF \
  | 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: 890459f5d4052754cc09fe9fb11ff75968c317ca6d77fc38667e0f65015d01fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "019deab306cf2e9a3e318ac901364bb10a4ec27edcc3d9a5a1b8df877e757a42",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2025-03-31T14:12:55Z",
    "title_canon_sha256": "3cbeceaa1125770483d1ea848b9f792de4a299370c1777941481f0f29fd037c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.24128",
    "kind": "arxiv",
    "version": 1
  }
}