Pith Number

pith:CPKWX2MT

pith:2016:CPKWX2MT72FJREYNENKKD52WK6

not attested not anchored not stored refs pending

Primary spectrum of $\mathcal{C}^\infty(M)$ and jets theory

Jes\'us Mu\~noz-D\'iaz, Ricardo J. Alonso-Blanco

arxiv:1610.09871 v1 · 2016-10-31 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CPKWX2MT72FJREYNENKKD52WK6}

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	2026-05-18T01:00:47.023103Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13d56be993fe8a98930d2354a1f756579f07f9e23980ea39757e5f41ff6c33ec

Aliases

arxiv: 1610.09871 · arxiv_version: 1610.09871v1 · doi: 10.48550/arxiv.1610.09871 · pith_short_12: CPKWX2MT72FJ · pith_short_16: CPKWX2MT72FJREYN · pith_short_8: CPKWX2MT

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/CPKWX2MT72FJREYNENKKD52WK6 \
  | 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: 13d56be993fe8a98930d2354a1f756579f07f9e23980ea39757e5f41ff6c33ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1261655bd8004d04294370bc62795fdf680fd307662bd5d011e22a390ad572b7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-10-31T11:23:13Z",
    "title_canon_sha256": "4101cfb3511486c8c81fecb7db9b54a4eb59891f876d934f0ce5f5f84c8a0e82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.09871",
    "kind": "arxiv",
    "version": 1
  }
}