Pith Number

pith:SZYYQC7T

pith:2024:SZYYQC7TM63H26VXC5BY5F7CLS

not attested not anchored not stored refs pending

Gradient flows on metric graphs with reservoirs: Microscopic derivation and multiscale limits

Andr\'e Schlichting, Georg Heinze, Jan-Frederik Pietschmann

arxiv:2412.16775 v1 · 2024-12-21 · math.AP · cs.NA · math.MG · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SZYYQC7TM63H26VXC5BY5F7CLS}

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.

Cited by

2 papers in Pith

Liouville-Preserving Hamiltonian Scattering on Finite Metric Graphs

Receipt and verification

First computed	2026-07-05T09:53:12.954669Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9671880bf367b67d7ab717438e97e25cb8c2d05aefd57f983af7795ef592deb0

Aliases

arxiv: 2412.16775 · arxiv_version: 2412.16775v1 · doi: 10.48550/arxiv.2412.16775 · pith_short_12: SZYYQC7TM63H · pith_short_16: SZYYQC7TM63H26VX · pith_short_8: SZYYQC7T

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/SZYYQC7TM63H26VXC5BY5F7CLS \
  | 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: 9671880bf367b67d7ab717438e97e25cb8c2d05aefd57f983af7795ef592deb0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65443626879e65cb0da667b03e27f13a9adfda3b004afc463b18cd1f6c48c27f",
    "cross_cats_sorted": [
      "cs.NA",
      "math.MG",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-12-21T21:07:16Z",
    "title_canon_sha256": "2e0261aa1c37464c7bed51a839d464d189324fde1c5cdd6f05011f6adae84dce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.16775",
    "kind": "arxiv",
    "version": 1
  }
}