Pith Number

pith:GLWGEXG5

pith:2013:GLWGEXG5FHE6RSTYXCLB5UDUGF

not attested not anchored not stored refs pending

On almost specification and average shadowing properties

Dominik Kwietniak, Marcin Kulczycki, Piotr Oprocha

arxiv:1307.0120 v1 · 2013-06-29 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GLWGEXG5FHE6RSTYXCLB5UDUGF}

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	2026-05-18T02:52:42.043976Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32ec625cdd29c9e8ca78b8961ed074316a9218384b85a2fea399cdedb60dbc15

Aliases

arxiv: 1307.0120 · arxiv_version: 1307.0120v1 · doi: 10.48550/arxiv.1307.0120 · pith_short_12: GLWGEXG5FHE6 · pith_short_16: GLWGEXG5FHE6RSTY · pith_short_8: GLWGEXG5

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/GLWGEXG5FHE6RSTYXCLB5UDUGF \
  | 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: 32ec625cdd29c9e8ca78b8961ed074316a9218384b85a2fea399cdedb60dbc15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "747f539ddb5149cac9d83327530037d5333e8eb11b8871567aad90f36143f597",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-06-29T15:42:39Z",
    "title_canon_sha256": "a34b07fbf892ad1d7a5769553f5dacb4f777191c5bb1414375ab9510c09bf178"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.0120",
    "kind": "arxiv",
    "version": 1
  }
}