Pith Number

pith:3VII6AE6

pith:2026:3VII6AE6BXL33LRMRBJZQKPENW

not attested not anchored not stored refs pending

Equilibrium Causal Digital Twins: Validation, Transport, and Identification Limits

Faraz Dadgostari, Neda Nazemi

arxiv:2607.21667 v1 · 2026-07-23 · stat.ME · cs.MA · cs.SY · eess.SY · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3VII6AE6BXL33LRMRBJZQKPENW}

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	2026-07-27T00:20:14.094302Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd508f009e0dd7bdae2c88539829e46dbee1d7d471ee87e5a01a5aea6583aeae

Aliases

arxiv: 2607.21667 · arxiv_version: 2607.21667v1 · doi: 10.48550/arxiv.2607.21667 · pith_short_12: 3VII6AE6BXL3 · pith_short_16: 3VII6AE6BXL33LRM · pith_short_8: 3VII6AE6

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/3VII6AE6BXL33LRMRBJZQKPENW \
  | 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: dd508f009e0dd7bdae2c88539829e46dbee1d7d471ee87e5a01a5aea6583aeae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6e35c2334ac5ae6083e06bf2323f2d3956aede829dad7e7713260172c041d17",
    "cross_cats_sorted": [
      "cs.MA",
      "cs.SY",
      "eess.SY",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2026-07-23T05:07:51Z",
    "title_canon_sha256": "49654c742bb430f141a4263989b4e7f5433357f6ff8c7e4e46e59916c1da0c90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.21667",
    "kind": "arxiv",
    "version": 1
  }
}