Pith Number

pith:M6WWEDWJ

pith:2017:M6WWEDWJEMPEXV3JTRGV5SZUZP

not attested not anchored not stored refs pending

The Kazdan-Warner equation on canonically compactifiable graphs

Matthias Keller, Michael Schwarz

arxiv:1707.08318 v1 · 2017-07-26 · math.AP · math.FA · 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{M6WWEDWJEMPEXV3JTRGV5SZUZP}

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	2026-05-18T00:39:24.618662Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67ad620ec9231e4bd7699c4d5ecb34cbedffaa7a8ad9e5c98d92a3a513fb22db

Aliases

arxiv: 1707.08318 · arxiv_version: 1707.08318v1 · doi: 10.48550/arxiv.1707.08318 · pith_short_12: M6WWEDWJEMPE · pith_short_16: M6WWEDWJEMPEXV3J · pith_short_8: M6WWEDWJ

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/M6WWEDWJEMPEXV3JTRGV5SZUZP \
  | 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: 67ad620ec9231e4bd7699c4d5ecb34cbedffaa7a8ad9e5c98d92a3a513fb22db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51a08fbd7295887319b0268d36e86a425bdd4447e6a22e21bec3b6689a5ee561",
    "cross_cats_sorted": [
      "math.FA",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-07-26T08:33:38Z",
    "title_canon_sha256": "79d928edda7999f5e514f0edbf99e043dfa886ff3611b3b7d6a181df77a9c8f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.08318",
    "kind": "arxiv",
    "version": 1
  }
}