Pith Number

pith:JRFGALYX

pith:2016:JRFGALYXYJOOO4Q76VLSMRM6A3

not attested not anchored not stored refs pending

On a cosine function defined for smooth normed spaces

Emad Shonoda, Vitor Balestro

arxiv:1607.01515 v2 · 2016-07-06 · math.DG · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JRFGALYXYJOOO4Q76VLSMRM6A3}

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	2026-05-18T00:51:25.499059Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c4a602f17c25ce7721ff55726459e06c2992a8506fc4ae300f8875e7227543e

Aliases

arxiv: 1607.01515 · arxiv_version: 1607.01515v2 · doi: 10.48550/arxiv.1607.01515 · pith_short_12: JRFGALYXYJOO · pith_short_16: JRFGALYXYJOOO4Q7 · pith_short_8: JRFGALYX

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/JRFGALYXYJOOO4Q76VLSMRM6A3 \
  | 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: 4c4a602f17c25ce7721ff55726459e06c2992a8506fc4ae300f8875e7227543e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea8abe36c577a5f0d4a8c56ea9e1e76826c9488a3085b2e10dee652567416de8",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-07-06T08:23:29Z",
    "title_canon_sha256": "6fcb9368869d9abb4c2ffc5a0dfdf01964bb3437793155a286fa8703ad4b6224"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.01515",
    "kind": "arxiv",
    "version": 2
  }
}