Pith Number

pith:CLPN5LWU

pith:2015:CLPN5LWUOSQTY2YD2HITMHEHME

not attested not anchored not stored refs pending

On the Topology of Real Bundle Pairs over Nodal Symmetric Surfaces

Aleksey Zinger, Penka Georgieva

arxiv:1512.07216 v1 · 2015-12-22 · math.AG · hep-th · math.AT · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CLPN5LWUOSQTY2YD2HITMHEHME}

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	2026-05-18T01:23:52.605928Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12dedeaed474a13c6b03d1d1361c87611d1fd84e6e7b166a76efff02c2759466

Aliases

arxiv: 1512.07216 · arxiv_version: 1512.07216v1 · doi: 10.48550/arxiv.1512.07216 · pith_short_12: CLPN5LWUOSQT · pith_short_16: CLPN5LWUOSQTY2YD · pith_short_8: CLPN5LWU

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/CLPN5LWUOSQTY2YD2HITMHEHME \
  | 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: 12dedeaed474a13c6b03d1d1361c87611d1fd84e6e7b166a76efff02c2759466

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "954d5ecd912b9d37555081a4503206b89f9ee07e4fa7c583c262b1a6e4d3238c",
    "cross_cats_sorted": [
      "hep-th",
      "math.AT",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-12-22T19:43:26Z",
    "title_canon_sha256": "b30bbec1d185661ec0ae319744d5e5ab9e5a078093aa66c31b8280cd7ed2e99f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.07216",
    "kind": "arxiv",
    "version": 1
  }
}