Pith Number

pith:LS7S7CFW

pith:2010:LS7S7CFWQDCFIWJVG5KFYHUTUR

not attested not anchored not stored refs pending

Singular polarizations and symplectic embeddings

Emmanuel Opshtein

arxiv:1011.6358 v1 · 2010-11-29 · 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{LS7S7CFWQDCFIWJVG5KFYHUTUR}

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	2026-05-18T04:34:35.927266Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cbf2f88b680c454593537545c1e93a45bd1e625dcdbba683d6eea211db6733d

Aliases

arxiv: 1011.6358 · arxiv_version: 1011.6358v1 · doi: 10.48550/arxiv.1011.6358 · pith_short_12: LS7S7CFWQDCF · pith_short_16: LS7S7CFWQDCFIWJV · pith_short_8: LS7S7CFW

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/LS7S7CFWQDCFIWJVG5KFYHUTUR \
  | 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: 5cbf2f88b680c454593537545c1e93a45bd1e625dcdbba683d6eea211db6733d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c64cab24cb050be61caa55bc7ffdd4818a5b1c94ecd9607f905d99938c26eea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2010-11-29T20:27:21Z",
    "title_canon_sha256": "f9383519b80c328bd6ba4da3bf4d1ac292170f7cfaaafcf942af2448f91e6fdc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.6358",
    "kind": "arxiv",
    "version": 1
  }
}