Pith Number

pith:UGEIMONG

pith:2016:UGEIMONGVXF7RRCHC3KHP3ZDM5

not attested not anchored not stored refs pending

Noncompact RCD(0,N) spaces with linear volume growth

Xian-Tao Huang

arxiv:1603.05221 v4 · 2016-03-16 · math.MG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UGEIMONGVXF7RRCHC3KHP3ZDM5}

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	2026-05-18T01:12:34.350869Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1888639a6adcbf8c44716d477ef23674e5d17b86abb298d39af809d5b9c10b3

Aliases

arxiv: 1603.05221 · arxiv_version: 1603.05221v4 · doi: 10.48550/arxiv.1603.05221 · pith_short_12: UGEIMONGVXF7 · pith_short_16: UGEIMONGVXF7RRCH · pith_short_8: UGEIMONG

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/UGEIMONGVXF7RRCHC3KHP3ZDM5 \
  | 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: a1888639a6adcbf8c44716d477ef23674e5d17b86abb298d39af809d5b9c10b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a6afcda2b78f811b48588423b9bb0d265e92d62e825cce8546b4f861cd12f54",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2016-03-16T19:15:45Z",
    "title_canon_sha256": "67bee64384dfde10dc2ca96918bccc043c4c2023726872e2f32d6a3328df72aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.05221",
    "kind": "arxiv",
    "version": 4
  }
}