Pith Number

pith:U2TTJYQB

pith:2013:U2TTJYQBS7V4G54XKACQSZYDVD

not attested not anchored not stored refs pending

Unbounded order convergence in dual spaces

Niushan Gao

arxiv:1310.4438 v2 · 2013-10-16 · 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{U2TTJYQBS7V4G54XKACQSZYDVD}

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	2026-05-18T00:46:02.948019Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6a734e20197ebc377975005096703a8c41de253ec6cb67e88ac40708f4ec265

Aliases

arxiv: 1310.4438 · arxiv_version: 1310.4438v2 · doi: 10.48550/arxiv.1310.4438 · pith_short_12: U2TTJYQBS7V4 · pith_short_16: U2TTJYQBS7V4G54X · pith_short_8: U2TTJYQB

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/U2TTJYQBS7V4G54XKACQSZYDVD \
  | 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: a6a734e20197ebc377975005096703a8c41de253ec6cb67e88ac40708f4ec265

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8281751c58d48f73861675a5b38030e8d9d88f95012db5407b11752fecb4f109",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-10-16T16:28:57Z",
    "title_canon_sha256": "ded18ba7f1f1ac1928db232327e130d9f2db701346d0ea52be495d4dfd79513d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.4438",
    "kind": "arxiv",
    "version": 2
  }
}