Pith Number

pith:53LH2OD2

pith:2019:53LH2OD2Z7IPRODYHKHALHERJZ

not attested not anchored not stored refs pending

A note on norms of signed sums of vectors

Giorgos Chasapis, Nikos Skarmogiannis

arxiv:1906.03716 v1 · 2019-06-09 · math.MG · math.FA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{53LH2OD2Z7IPRODYHKHALHERJZ}

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	2026-05-17T23:43:45.209539Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eed67d387acfd0f8b8783a8e059c914e63bf84795dc62103a352d911741e2e5d

Aliases

arxiv: 1906.03716 · arxiv_version: 1906.03716v1 · doi: 10.48550/arxiv.1906.03716 · pith_short_12: 53LH2OD2Z7IP · pith_short_16: 53LH2OD2Z7IPRODY · pith_short_8: 53LH2OD2

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/53LH2OD2Z7IPRODYHKHALHERJZ \
  | 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: eed67d387acfd0f8b8783a8e059c914e63bf84795dc62103a352d911741e2e5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9342060a80f5835d9cd71aab59e7c652097476f8de4c9e014b1930c1513f1eb",
    "cross_cats_sorted": [
      "math.FA",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2019-06-09T21:37:21Z",
    "title_canon_sha256": "1077b85cf2e571cc62e42341bddc636521322853166197e2d5091b0f8ba9d165"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.03716",
    "kind": "arxiv",
    "version": 1
  }
}