Pith Number

pith:NMJ6EOPT

pith:2016:NMJ6EOPTQSDTZIB3T4WSCBAPBV

not attested not anchored not stored refs pending

An Alexandrov-Fenchel-type inequality for hypersurfaces in the sphere

Frederico Gir\~ao, Neilha M. Pinheiro

arxiv:1609.05806 v1 · 2016-09-19 · 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{NMJ6EOPTQSDTZIB3T4WSCBAPBV}

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	2026-05-18T01:04:25.254778Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b13e239f384873ca03b9f2d21040f0d5eab2b7e01b40096e61f5d5d08f55e27

Aliases

arxiv: 1609.05806 · arxiv_version: 1609.05806v1 · doi: 10.48550/arxiv.1609.05806 · pith_short_12: NMJ6EOPTQSDT · pith_short_16: NMJ6EOPTQSDTZIB3 · pith_short_8: NMJ6EOPT

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/NMJ6EOPTQSDTZIB3T4WSCBAPBV \
  | 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: 6b13e239f384873ca03b9f2d21040f0d5eab2b7e01b40096e61f5d5d08f55e27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79de5bc0836b936467aed730902a2861b54e991285a6dc18435d6255a5077a56",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-09-19T16:05:12Z",
    "title_canon_sha256": "adc5e52d131954743ccfd33c153426a7067d1b695f6e4bbeee916aaab080cf62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.05806",
    "kind": "arxiv",
    "version": 1
  }
}