Pith Number

pith:7FXSS3DW

pith:2006:7FXSS3DW6XWC5FSI7FMSZCHTQD

not attested not anchored not stored refs pending

Obstructions to embeddability into hyperquadrics and explicit examples

Dmitri Zaitsev

arxiv:math/0612281 v2 · 2006-12-11 · math.CV · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7FXSS3DW6XWC5FSI7FMSZCHTQD}

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	2026-05-18T02:27:06.393226Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f96f296c76f5ec2e9648f9592c88f380eb46fe4d10390a4d5f26ce0167f8bfeb

Aliases

arxiv: math/0612281 · arxiv_version: math/0612281v2 · doi: 10.48550/arxiv.math/0612281 · pith_short_12: 7FXSS3DW6XWC · pith_short_16: 7FXSS3DW6XWC5FSI · pith_short_8: 7FXSS3DW

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/7FXSS3DW6XWC5FSI7FMSZCHTQD \
  | 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: f96f296c76f5ec2e9648f9592c88f380eb46fe4d10390a4d5f26ce0167f8bfeb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "749aeea5f37e1779023b8242f7d7ad477386bba6663d655c090cf31e0753b5bd",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "",
    "primary_cat": "math.CV",
    "submitted_at": "2006-12-11T16:32:13Z",
    "title_canon_sha256": "53c5636f9cf5c8938ad83549c8471ac4c6c30bebe4777997ce8697243269916e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0612281",
    "kind": "arxiv",
    "version": 2
  }
}