Pith Number

pith:PBSZ7Y7W

pith:2012:PBSZ7Y7WAUY6TCWZDIQTKDZXEO

not attested not anchored not stored refs pending

Fr\'echet frames, general definition and expansions

Diana T. Stoeva, Stevan Pilipovi\'c

arxiv:1201.2096 v2 · 2012-01-10 · 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{PBSZ7Y7WAUY6TCWZDIQTKDZXEO}

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	2026-05-18T01:30:01.426142Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78659fe3f60531e98ad91a21350f3723adeeb1d52f2389a6bb4a7d4b1dc8d028

Aliases

arxiv: 1201.2096 · arxiv_version: 1201.2096v2 · doi: 10.48550/arxiv.1201.2096 · pith_short_12: PBSZ7Y7WAUY6 · pith_short_16: PBSZ7Y7WAUY6TCWZ · pith_short_8: PBSZ7Y7W

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/PBSZ7Y7WAUY6TCWZDIQTKDZXEO \
  | 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: 78659fe3f60531e98ad91a21350f3723adeeb1d52f2389a6bb4a7d4b1dc8d028

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce9df4dab1284d0895fa3d09e56c4bb483270af1a7c2067474038ecc37c9766e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-01-10T16:11:08Z",
    "title_canon_sha256": "19667fc73f5957605a0db6c858b54dc2550bb98a4577ba900b6accace328574a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.2096",
    "kind": "arxiv",
    "version": 2
  }
}