Pith Number

pith:2UFPIDUT

pith:2022:2UFPIDUTB5NLGSLEYHCPGWCUNU

not attested not anchored not stored refs pending

A Proof of Kirchhoff's First Law for Hyperbolic Conservation Laws on Networks

Alexander Keimer, Alexandre M. Bayen, Nils M\"uller

arxiv:2211.13730 v1 · 2022-11-24 · math.AP · 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{2UFPIDUTB5NLGSLEYHCPGWCUNU}

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	2026-07-05T07:40:50.604276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d50af40e930f5ab34964c1c4f358546d3d9c6b34f55f3b2234ab95c04139e52e

Aliases

arxiv: 2211.13730 · arxiv_version: 2211.13730v1 · doi: 10.48550/arxiv.2211.13730 · pith_short_12: 2UFPIDUTB5NL · pith_short_16: 2UFPIDUTB5NLGSLE · pith_short_8: 2UFPIDUT

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/2UFPIDUTB5NLGSLEYHCPGWCUNU \
  | 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: d50af40e930f5ab34964c1c4f358546d3d9c6b34f55f3b2234ab95c04139e52e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c356999296ba1e5e795c4c6bab892d0dd8994d88c0aacfef29a8bc3fa9ca1fe",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2022-11-24T17:38:14Z",
    "title_canon_sha256": "5451f33cda4c3325f7e2aac65caace96ff710cbdc902af49ce71b8c6d2b779f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.13730",
    "kind": "arxiv",
    "version": 1
  }
}