Pith Number

pith:D7KBRTG4

pith:2015:D7KBRTG4K3ZXFS2O5GUGD3XW6X

not attested not anchored not stored refs pending

The Cotton tensor and Chern-Simons invariants in dimension $3$: an introduction

Sergiu Moroianu

arxiv:1509.05156 v1 · 2015-09-17 · 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{D7KBRTG4K3ZXFS2O5GUGD3XW6X}

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	2026-05-18T01:32:49.764950Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fd418ccdc56f372cb4ee9a861eef6f5f069b02c7a5d7882302406b8f0be68b2

Aliases

arxiv: 1509.05156 · arxiv_version: 1509.05156v1 · doi: 10.48550/arxiv.1509.05156 · pith_short_12: D7KBRTG4K3ZX · pith_short_16: D7KBRTG4K3ZXFS2O · pith_short_8: D7KBRTG4

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/D7KBRTG4K3ZXFS2O5GUGD3XW6X \
  | 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: 1fd418ccdc56f372cb4ee9a861eef6f5f069b02c7a5d7882302406b8f0be68b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ac40a4459097a745ae1c33d069a227bf8bbe472da86dcfb2bc5523538d82692",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-09-17T08:08:00Z",
    "title_canon_sha256": "4c3a74ec55dfb70889f2e20d75e1268472e4833bc4a7fdf43a59833ce5f0dd7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05156",
    "kind": "arxiv",
    "version": 1
  }
}