Pith Number

pith:TIKAQGLW

pith:2019:TIKAQGLWM22XFZPGJLVHTH3JXP

not attested not anchored not stored refs pending

A note on Kazdan-Warner equation on networks

Claudio Marchi, Fabio Camilli

arxiv:1909.08472 v1 · 2019-09-18 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TIKAQGLWM22XFZPGJLVHTH3JXP}

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	2026-07-05T00:05:31.040074Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a1408197666b572e5e64aea799f69bbdeb67bb80448aa59de8799f1bcbae9de

Aliases

arxiv: 1909.08472 · arxiv_version: 1909.08472v1 · doi: 10.48550/arxiv.1909.08472 · pith_short_12: TIKAQGLWM22X · pith_short_16: TIKAQGLWM22XFZPG · pith_short_8: TIKAQGLW

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/TIKAQGLWM22XFZPGJLVHTH3JXP \
  | 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: 9a1408197666b572e5e64aea799f69bbdeb67bb80448aa59de8799f1bcbae9de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "861f2131a871f331651e9aa1b0557967dcfec5210479162d4d46094c64a1004b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-09-18T14:28:44Z",
    "title_canon_sha256": "6111869f87282ddc1e87b7e6975a51dd00267e7ca9dee07499c45cb5a6db81fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.08472",
    "kind": "arxiv",
    "version": 1
  }
}