Pith Number

pith:XCHFI2MU

pith:2021:XCHFI2MUSIL56G7DH4HZIYNSKC

not attested not anchored not stored refs pending

Discrete degree of symmetry of manifolds

Ignasi Mundet i Riera

arxiv:2112.05599 v2 · 2021-12-10 · math.AT · math.AG · 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{XCHFI2MUSIL56G7DH4HZIYNSKC}

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

Finite abelian group actions on weakly Lefschetz cohomologically symplectic manifolds

Receipt and verification

First computed	2026-07-05T06:27:38.264926Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b88e5469949217df1be33f0f9461b250962545b3b5e69f97b23d4691f4d2f496

Aliases

arxiv: 2112.05599 · arxiv_version: 2112.05599v2 · doi: 10.48550/arxiv.2112.05599 · pith_short_12: XCHFI2MUSIL5 · pith_short_16: XCHFI2MUSIL56G7D · pith_short_8: XCHFI2MU

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/XCHFI2MUSIL56G7DH4HZIYNSKC \
  | 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: b88e5469949217df1be33f0f9461b250962545b3b5e69f97b23d4691f4d2f496

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7391150255a10c5ce4cc74957af1d27318dbfc3e0368f32508d8501ca1d14f8f",
    "cross_cats_sorted": [
      "math.AG",
      "math.GT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2021-12-10T15:31:10Z",
    "title_canon_sha256": "3cd4db3d062a4bb70e815bd98ff0ef7590b80886e3bd24d5cbe2e30eecbf0327"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.05599",
    "kind": "arxiv",
    "version": 2
  }
}