Pith Number

pith:ZXPMLMMI

pith:2016:ZXPMLMMIRKGAM67NT5UPIOTYQK

not attested not anchored not stored refs pending

Exponential Stability and the Markus-Yamabe Conjecture in Compact Spaces

Arpan Mukhopadhyay, Christopher Nielsen, Ravi Mazumdar

arxiv:1608.08657 v2 · 2016-08-30 · math.OC · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZXPMLMMIRKGAM67NT5UPIOTYQK}

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	2026-05-18T01:06:20.213847Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cddec5b1888a8c067bed9f68f43a7882aef11193ce9e0c2e58a44527288075d3

Aliases

arxiv: 1608.08657 · arxiv_version: 1608.08657v2 · doi: 10.48550/arxiv.1608.08657 · pith_short_12: ZXPMLMMIRKGA · pith_short_16: ZXPMLMMIRKGAM67N · pith_short_8: ZXPMLMMI

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/ZXPMLMMIRKGAM67NT5UPIOTYQK \
  | 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: cddec5b1888a8c067bed9f68f43a7882aef11193ce9e0c2e58a44527288075d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "597917e271dc630233ff5ba28d680485f72f1d931a39a8ab2d92dbc90070c0ab",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-08-30T21:04:25Z",
    "title_canon_sha256": "e1ff6c9616dc161a4fd429bef715766176f688fe5b990b936c178af7be2fe287"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.08657",
    "kind": "arxiv",
    "version": 2
  }
}