Pith Number

pith:C7OUFCPL

pith:2026:C7OUFCPLGW737DA2NSSF2BIQPQ

not attested not anchored not stored refs pending

Lectures on Open Systems and Cosmology

Enrico Pajer

arxiv:2607.14351 v1 · 2026-07-15 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C7OUFCPLGW737DA2NSSF2BIQPQ}

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	2026-07-17T00:21:07.062984Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17dd4289eb35bfbf8c1a6ca45d05107c33f4907f7a11dc49722f69e95921b165

Aliases

arxiv: 2607.14351 · arxiv_version: 2607.14351v1 · doi: 10.48550/arxiv.2607.14351 · pith_short_12: C7OUFCPLGW73 · pith_short_16: C7OUFCPLGW737DA2 · pith_short_8: C7OUFCPL

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/C7OUFCPLGW737DA2NSSF2BIQPQ \
  | 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: 17dd4289eb35bfbf8c1a6ca45d05107c33f4907f7a11dc49722f69e95921b165

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75c6381d0065d9bf98e486f9aff157277b8725693ba6107184ceda0d4565776e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-07-15T20:31:21Z",
    "title_canon_sha256": "90973c5b7459e43423c15371c59e2338e44703bbef1f862c8a53ec0fdf88a0d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.14351",
    "kind": "arxiv",
    "version": 1
  }
}