Pith Number

pith:FNUI7SWR

pith:2016:FNUI7SWR4GJM2PWOYDKRX3ZRWN

not attested not anchored not stored refs pending

Lower bounds for codimension-1 measure in metric manifolds

Kyle Kinneberg

arxiv:1602.06440 v2 · 2016-02-20 · 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{FNUI7SWR4GJM2PWOYDKRX3ZRWN}

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	2026-05-18T01:01:42.096611Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b688fcad1e192cd3ecec0d51bef31b34d67aaa32dd909d45acc85bbfc2e19f8

Aliases

arxiv: 1602.06440 · arxiv_version: 1602.06440v2 · doi: 10.48550/arxiv.1602.06440 · pith_short_12: FNUI7SWR4GJM · pith_short_16: FNUI7SWR4GJM2PWO · pith_short_8: FNUI7SWR

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/FNUI7SWR4GJM2PWOYDKRX3ZRWN \
  | 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: 2b688fcad1e192cd3ecec0d51bef31b34d67aaa32dd909d45acc85bbfc2e19f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "790cbc41f17b9da361fe5625b7aa93012597e6bd7e6b6a75011cff1f469b2a33",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2016-02-20T19:08:17Z",
    "title_canon_sha256": "0fed85955123f348ea04094eb966c010516ad09ed211d59e078562b7e46c3c42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.06440",
    "kind": "arxiv",
    "version": 2
  }
}