Pith Number

pith:BL6DLOUO

pith:2026:BL6DLOUOHIWC5FWHQNJD7KV7U5

not attested not anchored not stored refs pending

Lie Meets Network Dynamics: Exact Macroscopic Reductions (Finite Systems)

Erik Andreas Martens, Sanjay Dharmavaram

arxiv:2607.12210 v1 · 2026-07-13 · math.DS · nlin.AO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BL6DLOUOHIWC5FWHQNJD7KV7U5}

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	2026-07-15T00:21:38.743288Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0afc35ba8e3a2c2e96c783523faabfa77557928175c8dbcbcb0c79d3c4bfd61b

Aliases

arxiv: 2607.12210 · arxiv_version: 2607.12210v1 · doi: 10.48550/arxiv.2607.12210 · pith_short_12: BL6DLOUOHIWC · pith_short_16: BL6DLOUOHIWC5FWH · pith_short_8: BL6DLOUO

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/BL6DLOUOHIWC5FWHQNJD7KV7U5 \
  | 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: 0afc35ba8e3a2c2e96c783523faabfa77557928175c8dbcbcb0c79d3c4bfd61b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d4d7dd65c4d1c51589e1e6940d2fb64ba365c9739339a8bf2ee779ec66e1357",
    "cross_cats_sorted": [
      "nlin.AO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2026-07-13T23:18:57Z",
    "title_canon_sha256": "eea28f679b1aa6f276f9a2498c476aa805c22d3d456dcdcf77a996fa4c951a35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.12210",
    "kind": "arxiv",
    "version": 1
  }
}