Pith Number

pith:XIC4URHL

pith:2015:XIC4URHLHATRVJAOZRIBKLNNV5

not attested not anchored not stored refs pending

Coarse and uniform embeddings

Bruno de Mendon\c{c}a Braga

arxiv:1512.03109 v2 · 2015-12-09 · 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{XIC4URHLHATRVJAOZRIBKLNNV5}

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	2026-05-18T00:54:10.878830Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba05ca44eb38271aa40ecc50152dadaf7187c8dd89e537f49c720d471b91b926

Aliases

arxiv: 1512.03109 · arxiv_version: 1512.03109v2 · doi: 10.48550/arxiv.1512.03109 · pith_short_12: XIC4URHLHATR · pith_short_16: XIC4URHLHATRVJAO · pith_short_8: XIC4URHL

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/XIC4URHLHATRVJAOZRIBKLNNV5 \
  | 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: ba05ca44eb38271aa40ecc50152dadaf7187c8dd89e537f49c720d471b91b926

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e259f2bed3edcc198d673f9adf92b00888dc97dcfd77ba4c4ce7635b374f494",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-12-09T23:16:38Z",
    "title_canon_sha256": "82088b0859db20d41ed6430473acd4b08cd52f1c67e3f84d3a29e1f9d7528f58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.03109",
    "kind": "arxiv",
    "version": 2
  }
}