Pith Number

pith:ZGHRR4KX

pith:2014:ZGHRR4KX3UF3JDFSM2BRCP4HKL

not attested not anchored not stored refs pending

The gap between Gromov-vague and Gromov-Hausdorff-vague topology

Anita Winter, Siva Athreya, Wolfgang L\"ohr

arxiv:1407.6309 v2 · 2014-07-23 · math.PR · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZGHRR4KX3UF3JDFSM2BRCP4HKL}

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	2026-05-18T01:04:54.221357Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c98f18f157dd0bb48cb26683113f8752ef0382bf8fb09b778adb43e19c8d4359

Aliases

arxiv: 1407.6309 · arxiv_version: 1407.6309v2 · doi: 10.48550/arxiv.1407.6309 · pith_short_12: ZGHRR4KX3UF3 · pith_short_16: ZGHRR4KX3UF3JDFS · pith_short_8: ZGHRR4KX

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/ZGHRR4KX3UF3JDFSM2BRCP4HKL \
  | 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: c98f18f157dd0bb48cb26683113f8752ef0382bf8fb09b778adb43e19c8d4359

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9fab996622dcf46cac181544ebd73c845ba88b0b62e9693592eb676ac7c9fe8",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-07-23T17:39:29Z",
    "title_canon_sha256": "f2e00009435db00e4837d06ccd8c49ebc6b24b5738d2f5f455aafb575d107773"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.6309",
    "kind": "arxiv",
    "version": 2
  }
}