Pith Number

pith:R76XA6BE

pith:2017:R76XA6BE2J37YKIJESKHV4US4J

not attested not anchored not stored refs pending

Envelope of Mid-Hyperplanes of a Hypersurface

Ady Cambraia Jr., Marcos Craizer

arxiv:1702.04611 v1 · 2017-02-15 · 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{R76XA6BE2J37YKIJESKHV4US4J}

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	2026-05-18T00:50:41.153333Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ffd707824d277fc290924947af292e26040ebea9a5fcf63d2dfd164bb2b4e3d

Aliases

arxiv: 1702.04611 · arxiv_version: 1702.04611v1 · doi: 10.48550/arxiv.1702.04611 · pith_short_12: R76XA6BE2J37 · pith_short_16: R76XA6BE2J37YKIJ · pith_short_8: R76XA6BE

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/R76XA6BE2J37YKIJESKHV4US4J \
  | 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: 8ffd707824d277fc290924947af292e26040ebea9a5fcf63d2dfd164bb2b4e3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "284dbf372d9d2b9284510a0ad5a645d818fd8f3871bdff793ed520dafcb44d64",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-02-15T14:01:53Z",
    "title_canon_sha256": "f44d88a49c64c9ec582ee17a1db13e5317afb2e1452fc4002d32b61ec11019d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.04611",
    "kind": "arxiv",
    "version": 1
  }
}