Pith Number

pith:VLXNEXTS

pith:2011:VLXNEXTSHDEG3W3OGSHXYF5BXM

not attested not anchored not stored refs pending

Measurable Differentiable Structures on Doubling Metric Spaces

Jasun Gong

arxiv:1110.4279 v2 · 2011-10-19 · 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{VLXNEXTSHDEG3W3OGSHXYF5BXM}

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	2026-05-18T03:48:48.080397Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aaeed25e7238c86ddb6e348f7c17a1bb2c0734e53d27cbd8e7c5354b08870a6b

Aliases

arxiv: 1110.4279 · arxiv_version: 1110.4279v2 · doi: 10.48550/arxiv.1110.4279 · pith_short_12: VLXNEXTSHDEG · pith_short_16: VLXNEXTSHDEG3W3O · pith_short_8: VLXNEXTS

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/VLXNEXTSHDEG3W3OGSHXYF5BXM \
  | 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: aaeed25e7238c86ddb6e348f7c17a1bb2c0734e53d27cbd8e7c5354b08870a6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97cbdc962d0dd9dd0bd27057e2667d1d62fd054428246d0a679d659e52722c64",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2011-10-19T13:36:07Z",
    "title_canon_sha256": "d07a542a8b9e8c7da85e21df50a7619651f5a25f6e2d5c50e42d5bfdfc91887f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.4279",
    "kind": "arxiv",
    "version": 2
  }
}