Pith Number

pith:Q4XTOG2X

pith:2016:Q4XTOG2XD7RGOA3ORAQSMB3U4U

not attested not anchored not stored refs pending

Degree of the Gauss map and curvature integrals for closed hypersurfaces

Fabiano G. B. Brito, Icaro Gon\c{c}alves

arxiv:1609.04670 v1 · 2016-09-15 · 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{Q4XTOG2XD7RGOA3ORAQSMB3U4U}

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	2026-05-18T01:04:35.940864Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

872f371b571fe267036e8821260774e5342102edb2bdfa7a2ecd0722be4450ee

Aliases

arxiv: 1609.04670 · arxiv_version: 1609.04670v1 · doi: 10.48550/arxiv.1609.04670 · pith_short_12: Q4XTOG2XD7RG · pith_short_16: Q4XTOG2XD7RGOA3O · pith_short_8: Q4XTOG2X

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/Q4XTOG2XD7RGOA3ORAQSMB3U4U \
  | 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: 872f371b571fe267036e8821260774e5342102edb2bdfa7a2ecd0722be4450ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6791d17c1cc7b2f77af94764b2722292d0a195f4046fc4aa60a410e70b3dff44",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-09-15T14:28:50Z",
    "title_canon_sha256": "fe32c91bbd1ce46f3a4979327b68cd6dae44c6400f88a93e75d6e9896439f613"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.04670",
    "kind": "arxiv",
    "version": 1
  }
}