Pith Number

pith:LMCITYTW

pith:2017:LMCITYTWI6DQ7SZNARU2LXIWK6

not attested not anchored not stored refs pending

Remark on the roots of generalized Lens equations

Mutsuo Oka

arxiv:1706.02840 v1 · 2017-06-09 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LMCITYTWI6DQ7SZNARU2LXIWK6}

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	2026-05-18T00:42:40.787268Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b0489e27647870fcb2d0469a5dd1657886578b7b627f35f524c5ac51ec3137d

Aliases

arxiv: 1706.02840 · arxiv_version: 1706.02840v1 · doi: 10.48550/arxiv.1706.02840 · pith_short_12: LMCITYTWI6DQ · pith_short_16: LMCITYTWI6DQ7SZN · pith_short_8: LMCITYTW

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/LMCITYTWI6DQ7SZNARU2LXIWK6 \
  | 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: 5b0489e27647870fcb2d0469a5dd1657886578b7b627f35f524c5ac51ec3137d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0b6fcf81b9cf876714143edee51e6c11145147a72532660d9325a6a06c3d24d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-06-09T05:59:26Z",
    "title_canon_sha256": "fc8dba9c003e2e3f5fc1758ccdf1810e6c0be52b60bd58aec67c3ab866628945"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.02840",
    "kind": "arxiv",
    "version": 1
  }
}