Pith Number

pith:UGPVQ5C4

pith:2012:UGPVQ5C4W2QHNOQCXWB45GJCVT

not attested not anchored not stored refs pending

The complete system of differential invariants of a curve in pseudo-euclidean space

K. K. Muminov, V. I. Chilin

arxiv:1204.4049 v1 · 2012-04-18 · 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{UGPVQ5C4W2QHNOQCXWB45GJCVT}

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	2026-05-18T03:57:37.882652Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a19f58745cb6a076ba02bd83ce9922ace4acf132a0ae4c202952385401f7785e

Aliases

arxiv: 1204.4049 · arxiv_version: 1204.4049v1 · doi: 10.48550/arxiv.1204.4049 · pith_short_12: UGPVQ5C4W2QH · pith_short_16: UGPVQ5C4W2QHNOQC · pith_short_8: UGPVQ5C4

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/UGPVQ5C4W2QHNOQCXWB45GJCVT \
  | 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: a19f58745cb6a076ba02bd83ce9922ace4acf132a0ae4c202952385401f7785e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c11f330e25cd15a56bd09637dc5d081cb0cba0c13add03ef76b6f3f47588d93",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-04-18T11:22:47Z",
    "title_canon_sha256": "1db223927ddab4bb8a2a14dc1a4574bbbec1def2599b05e180f3291196b65122"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.4049",
    "kind": "arxiv",
    "version": 1
  }
}