Pith Number

pith:XJZPA6DA

pith:2012:XJZPA6DAGZSIQCLKNQNX7CQXPH

not attested not anchored not stored refs pending

The Lip-lip condition on metric measure spaces

Jasun Gong

arxiv:1208.2869 v1 · 2012-08-14 · math.MG · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XJZPA6DAGZSIQCLKNQNX7CQXPH}

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	2026-05-18T03:48:47.010777Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba72f07860366488096a6c1b7f8a1779f46e91f6864c79153dfee66b86163fd9

Aliases

arxiv: 1208.2869 · arxiv_version: 1208.2869v1 · doi: 10.48550/arxiv.1208.2869 · pith_short_12: XJZPA6DAGZSI · pith_short_16: XJZPA6DAGZSIQCLK · pith_short_8: XJZPA6DA

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/XJZPA6DAGZSIQCLKNQNX7CQXPH \
  | 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: ba72f07860366488096a6c1b7f8a1779f46e91f6864c79153dfee66b86163fd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2257fb6483b851d5af08f54a647dea54521cde2d86fa1976f81e8d4d0f4be80f",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2012-08-14T14:04:41Z",
    "title_canon_sha256": "3f1ff07bced3519982172a4ef1786b70a592a9733c1d9859a9ddcc25a969f84d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.2869",
    "kind": "arxiv",
    "version": 1
  }
}