Pith Number

pith:243CYGWJ

pith:2015:243CYGWJ6SEGYMD4XCMAZMQA2V

not attested not anchored not stored refs pending

Locally $\sigma$-compact rectifiable spaces

Fucai Lin, Jing Zhang, Kexiu Zhang

arxiv:1507.04413 v1 · 2015-07-15 · math.GN · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{243CYGWJ6SEGYMD4XCMAZMQA2V}

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	2026-05-18T01:36:47.489216Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7362c1ac9f4886c307cb8980cb200d5636dc923dba71b8acda367d7f3fa1bf0

Aliases

arxiv: 1507.04413 · arxiv_version: 1507.04413v1 · doi: 10.48550/arxiv.1507.04413 · pith_short_12: 243CYGWJ6SEG · pith_short_16: 243CYGWJ6SEGYMD4 · pith_short_8: 243CYGWJ

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/243CYGWJ6SEGYMD4XCMAZMQA2V \
  | 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: d7362c1ac9f4886c307cb8980cb200d5636dc923dba71b8acda367d7f3fa1bf0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30a8476a5ce2438fce0cba8b76b063037ca51fcf17af59ea571623fb1380bada",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2015-07-15T23:42:18Z",
    "title_canon_sha256": "2b5c7536fc34972b6499b5a261d17c9ebaf2bdd61ea295bda62b81014f273d0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.04413",
    "kind": "arxiv",
    "version": 1
  }
}