Pith Number

pith:DOGN6JTX

pith:2022:DOGN6JTXV2JNLOB564MZA5MERO

not attested not anchored not stored refs pending

Inverse reduction inequalities for spectral numbers and applications

Claude Viterbo

arxiv:2203.13172 v1 · 2022-03-24 · math.SG · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DOGN6JTXV2JNLOB564MZA5MERO}

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

Floer Homology with DG Coefficients. Applications to cotangent bundles

Receipt and verification

First computed	2026-07-05T04:08:21.447880Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b8cdf2677ae92d5b83df7199075848bab86ca5bc733b8b37808d3d20660a0dc

Aliases

arxiv: 2203.13172 · arxiv_version: 2203.13172v1 · doi: 10.48550/arxiv.2203.13172 · pith_short_12: DOGN6JTXV2JN · pith_short_16: DOGN6JTXV2JNLOB5 · pith_short_8: DOGN6JTX

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/DOGN6JTXV2JNLOB564MZA5MERO \
  | 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: 1b8cdf2677ae92d5b83df7199075848bab86ca5bc733b8b37808d3d20660a0dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c1836082a25aeef05f722947d8547d251f89efadc4b30f2349e61c92f17da88",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2022-03-24T16:46:54Z",
    "title_canon_sha256": "d0ae272326bb76c159ab2856966eec2db96c7a9d1daffb0c22ab9b717fd7fa84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2203.13172",
    "kind": "arxiv",
    "version": 1
  }
}