Pith Number

pith:IS7M7T2Z

pith:2015:IS7M7T2ZAK7ZWUAPTQX2DBOAA3

not attested not anchored not stored refs pending

Classes of contractions and Harnack domination

Catalin Badea, Dan Timotin, Laurian Suciu

arxiv:1505.01972 v2 · 2015-05-08 · math.FA · math.CA · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IS7M7T2ZAK7ZWUAPTQX2DBOAA3}

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	2026-05-18T00:14:23.291697Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44becfcf5902bf9b500f9c2fa185c006cc43350c98802a7ded8a62bc1c795ef1

Aliases

arxiv: 1505.01972 · arxiv_version: 1505.01972v2 · doi: 10.48550/arxiv.1505.01972 · pith_short_12: IS7M7T2ZAK7Z · pith_short_16: IS7M7T2ZAK7ZWUAP · pith_short_8: IS7M7T2Z

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/IS7M7T2ZAK7ZWUAPTQX2DBOAA3 \
  | 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: 44becfcf5902bf9b500f9c2fa185c006cc43350c98802a7ded8a62bc1c795ef1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d222b33cdaae001561a0e338906f75875946a5c78ed36d81644c575cf93bf69b",
    "cross_cats_sorted": [
      "math.CA",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-05-08T09:53:11Z",
    "title_canon_sha256": "13a7c490a3f82e9af49827b831dd395d292969cb61dc07a4e1f4cb59a343ce39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.01972",
    "kind": "arxiv",
    "version": 2
  }
}