Pith Number

pith:3MLTE4VB

pith:2017:3MLTE4VBIGZ2XHNLIDCFVTBKT3

not attested not anchored not stored refs pending

The free Banach lattice generated by a Banach space

Antonio Avil\'es, Jos\'e Rodr\'iguez, Pedro Tradacete

arxiv:1706.08147 v1 · 2017-06-25 · 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{3MLTE4VBIGZ2XHNLIDCFVTBKT3}

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	2026-05-18T00:41:43.403567Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db173272a141b3ab9dab40c45acc2a9ee590263435ec6486d4ffe6c8efb9d0c9

Aliases

arxiv: 1706.08147 · arxiv_version: 1706.08147v1 · doi: 10.48550/arxiv.1706.08147 · pith_short_12: 3MLTE4VBIGZ2 · pith_short_16: 3MLTE4VBIGZ2XHNL · pith_short_8: 3MLTE4VB

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/3MLTE4VBIGZ2XHNLIDCFVTBKT3 \
  | 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: db173272a141b3ab9dab40c45acc2a9ee590263435ec6486d4ffe6c8efb9d0c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9dec886fc6c1085bd4e5cb1661774d4c19a45ff604d3602324e7518e89ea95b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-06-25T18:06:41Z",
    "title_canon_sha256": "864e79d090e36cdc33ffb0e1f58181629757fda945b3268f2af520997eabc3aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.08147",
    "kind": "arxiv",
    "version": 1
  }
}