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Pith Number

pith:TR5E45AC

pith:2016:TR5E45ACOFDL35N5MVFGPQOLM2
not attested not anchored not stored refs pending

A note on the relationship between the Szlenk and $w^*$-dentability indices of arbitrary $w^*$-compact sets

Ryan M Causey

arxiv:1608.03668 v1 · 2016-08-12 · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?
Add to your LaTeX paper 
\usepackage{pith}
\pithnumber{TR5E45ACOFDL35N5MVFGPQOLM2}

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 2026-05-18T01:09:12.154606Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

9c7a4e74027146bdf5bd654a67c1cb66b439dd6cd9f3a3a0ff140278a3d9904b

Aliases

arxiv: 1608.03668 · arxiv_version: 1608.03668v1 · doi: 10.48550/arxiv.1608.03668 · pith_short_12: TR5E45ACOFDL · pith_short_16: TR5E45ACOFDL35N5 · pith_short_8: TR5E45AC
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/TR5E45ACOFDL35N5MVFGPQOLM2 \
  | 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: 9c7a4e74027146bdf5bd654a67c1cb66b439dd6cd9f3a3a0ff140278a3d9904b
Canonical record JSON 
{
  "metadata": {
    "abstract_canon_sha256": "e4b75703911d957163f27bbdaeb3abbb5fd1521197b93612edfb65202fd96e0b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-08-12T03:45:43Z",
    "title_canon_sha256": "dc19d3c2743f7b8c921175d0a05a7c538ca4a0cc7a2d5dc8ce6cf7d8ec2b7e6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.03668",
    "kind": "arxiv",
    "version": 1
  }
}