Pith Number

pith:LYMTK77P

pith:2017:LYMTK77PAT6JHMUOCO76X273AD

not attested not anchored not stored refs pending

On maximizing the fundamental frequency of the complement of an obstacle

Bogdan Georgiev, Mayukh Mukherjee

arxiv:1706.02138 v1 · 2017-06-07 · math.AP · math.OC · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LYMTK77PAT6JHMUOCO76X273AD}

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	2026-05-18T00:42:49.882804Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e19357fef04fc93b28e13bfebebfb00c04b29aeb354dbaec4832399d592f37c

Aliases

arxiv: 1706.02138 · arxiv_version: 1706.02138v1 · doi: 10.48550/arxiv.1706.02138 · pith_short_12: LYMTK77PAT6J · pith_short_16: LYMTK77PAT6JHMUO · pith_short_8: LYMTK77P

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/LYMTK77PAT6JHMUOCO76X273AD \
  | 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: 5e19357fef04fc93b28e13bfebebfb00c04b29aeb354dbaec4832399d592f37c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c72fc508f48811d82e6b35b1755d7c3c60f65000b4322588dc00b6f8ecb5a45",
    "cross_cats_sorted": [
      "math.OC",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-06-07T11:46:06Z",
    "title_canon_sha256": "f589edb16f047df5433975edd589638b10f58119e4e8a7b5221a8d90ffc6e3e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.02138",
    "kind": "arxiv",
    "version": 1
  }
}