Pith Number

pith:5CWI2VPA

pith:2013:5CWI2VPAXSEMCNQHPE5X3QF2OU

not attested not anchored not stored refs pending

On proximality with Banach density one

Jian Li, Siming Tu

arxiv:1312.4668 v2 · 2013-12-17 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5CWI2VPAXSEMCNQHPE5X3QF2OU}

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	2026-05-18T02:41:26.184623Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8ac8d55e0bc88c13607793b7dc0ba753a57cc12023e37f7e3967b82851e7cb1

Aliases

arxiv: 1312.4668 · arxiv_version: 1312.4668v2 · doi: 10.48550/arxiv.1312.4668 · pith_short_12: 5CWI2VPAXSEM · pith_short_16: 5CWI2VPAXSEMCNQH · pith_short_8: 5CWI2VPA

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/5CWI2VPAXSEMCNQHPE5X3QF2OU \
  | 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: e8ac8d55e0bc88c13607793b7dc0ba753a57cc12023e37f7e3967b82851e7cb1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "752a194fd17d46647bf57624ab0a3aea851b893ff2b5bfd85b51ab4f6c9a970a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-12-17T07:21:07Z",
    "title_canon_sha256": "82ae6b9886a5968119dc7968a081dbacfb46a9ced254f353133134e4815917db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.4668",
    "kind": "arxiv",
    "version": 2
  }
}