Pith Number

pith:JHCLYY67

pith:2011:JHCLYY67XYCS6SQPUUIVIBFLMC

not attested not anchored not stored refs pending

Rigidity of Derivations in the Plane and in Metric Measure Spaces

Jasun Gong

arxiv:1110.4282 v1 · 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{JHCLYY67XYCS6SQPUUIVIBFLMC}

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	2026-05-18T04:10:37.763474Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49c4bc63dfbe052f4a0fa5115404ab6090e581156d3f9d63766522758503d9d3

Aliases

arxiv: 1110.4282 · arxiv_version: 1110.4282v1 · doi: 10.48550/arxiv.1110.4282 · pith_short_12: JHCLYY67XYCS · pith_short_16: JHCLYY67XYCS6SQP · pith_short_8: JHCLYY67

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/JHCLYY67XYCS6SQPUUIVIBFLMC \
  | 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: 49c4bc63dfbe052f4a0fa5115404ab6090e581156d3f9d63766522758503d9d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2240ef1210c18bd04cc3222a08a0e7e787ab86e013fc9c3109eafcb360489858",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2011-10-19T13:40:59Z",
    "title_canon_sha256": "28f1b746cbc2b313d5ef168f496ce4494957ac1940bcb573c77f409aa94a8707"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.4282",
    "kind": "arxiv",
    "version": 1
  }
}