Pith Number

pith:N3Y3JA5Z

pith:2013:N3Y3JA5ZJ5RX3TFWSKSMP46RPF

not attested not anchored not stored refs pending

On entropies, $\mathcal{F}$-structures, and scalar curvature of certain involutions

Rafael Torres

arxiv:1310.7415 v2 · 2013-10-28 · math.DG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N3Y3JA5ZJ5RX3TFWSKSMP46RPF}

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	2026-05-18T02:45:41.049108Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ef1b483b94f637dccb692a4c7f3d17969278fabd43c9beb176c2701b90678d3

Aliases

arxiv: 1310.7415 · arxiv_version: 1310.7415v2 · doi: 10.48550/arxiv.1310.7415 · pith_short_12: N3Y3JA5ZJ5RX · pith_short_16: N3Y3JA5ZJ5RX3TFW · pith_short_8: N3Y3JA5Z

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/N3Y3JA5ZJ5RX3TFWSKSMP46RPF \
  | 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: 6ef1b483b94f637dccb692a4c7f3d17969278fabd43c9beb176c2701b90678d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e26667326f5ee6a9f7b043040edd2f1cbcb55e2c72d241073b37aa15a6ec281",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-10-28T13:44:41Z",
    "title_canon_sha256": "abb5dac6acdb70bd3a6cb4c7460c5f4a7d9b813924479cd7974de2ec6f22a5f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.7415",
    "kind": "arxiv",
    "version": 2
  }
}