Pith Number

pith:XS5HTE4U

pith:2012:XS5HTE4UM3INVASVZODDW5RPKR

not attested not anchored not stored refs pending

Sequential closure in the space of measures

Omar Selim, Piotr Borodulin-Nadzieja

arxiv:1203.4270 v2 · 2012-03-19 · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XS5HTE4UM3INVASVZODDW5RPKR}

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	2026-05-18T03:45:12.386484Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bcba79939466d0da8255cb863b762f5458efc20856a59b8a88f199a39ecf0ee7

Aliases

arxiv: 1203.4270 · arxiv_version: 1203.4270v2 · doi: 10.48550/arxiv.1203.4270 · pith_short_12: XS5HTE4UM3IN · pith_short_16: XS5HTE4UM3INVASV · pith_short_8: XS5HTE4U

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/XS5HTE4UM3INVASVZODDW5RPKR \
  | 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: bcba79939466d0da8255cb863b762f5458efc20856a59b8a88f199a39ecf0ee7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f82dd51828ed3ee8d3fdc22ea2203dfb76eca83db749d11298c5466ece9fad8e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2012-03-19T21:35:31Z",
    "title_canon_sha256": "18f20087d63a2673cf88d7d5a905b7567df46873cea5391e743f04939c66e3eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.4270",
    "kind": "arxiv",
    "version": 2
  }
}