Pith Number

pith:RH7LLGHI

pith:2016:RH7LLGHIM42XKQ7L57LF6UHOX7

not attested not anchored not stored refs pending

Convexity and some geometric properties

\'Italo Melo, J. X. Cruz Neto, Paulo Sousa

arxiv:1612.03507 v1 · 2016-12-12 · math.DG · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RH7LLGHIM42XKQ7L57LF6UHOX7}

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	2026-05-18T00:55:19.087543Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89feb598e867357543ebefd65f50eebfe4129914bcf0f4e40da89b079b838f6d

Aliases

arxiv: 1612.03507 · arxiv_version: 1612.03507v1 · doi: 10.48550/arxiv.1612.03507 · pith_short_12: RH7LLGHIM42X · pith_short_16: RH7LLGHIM42XKQ7L · pith_short_8: RH7LLGHI

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/RH7LLGHIM42XKQ7L57LF6UHOX7 \
  | 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: 89feb598e867357543ebefd65f50eebfe4129914bcf0f4e40da89b079b838f6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab9db36e621f5e16b922f54c9e559e443441338e94c60a7eeeed5a8f0d1ee6ec",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-12-12T00:49:41Z",
    "title_canon_sha256": "6f22829735a62480bfec09827f4269bf2e6cac120b67125c119077f4d024a40a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.03507",
    "kind": "arxiv",
    "version": 1
  }
}