Pith Number

pith:OG5W4AHQ

pith:2005:OG5W4AHQZTZPBNQXCRSVWCZTOF

not attested not anchored not stored refs pending

Complex structure on the six dimensional sphere from a spontaneous symmetry breaking

Gabor Etesi

arxiv:math/0505634 v8 · 2005-05-30 · math.DG · hep-th · 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{OG5W4AHQZTZPBNQXCRSVWCZTOF}

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	2026-05-18T01:33:40.727295Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71bb6e00f0ccf2f0b61714655b0b337166d5b98df9ff6b66379b036b70c4f474

Aliases

arxiv: math/0505634 · arxiv_version: math/0505634v8 · doi: 10.48550/arxiv.math/0505634 · pith_short_12: OG5W4AHQZTZP · pith_short_16: OG5W4AHQZTZPBNQX · pith_short_8: OG5W4AHQ

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/OG5W4AHQZTZPBNQXCRSVWCZTOF \
  | 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: 71bb6e00f0ccf2f0b61714655b0b337166d5b98df9ff6b66379b036b70c4f474

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89787a8107f3ab587e76a0a31e519154252af2c051fc6c8a6fca7fa8a5504c38",
    "cross_cats_sorted": [
      "hep-th",
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2005-05-30T08:39:09Z",
    "title_canon_sha256": "60eafe016913b1be423b311b3f78b8d11cd0f14c084f3d0956ea4832a486555d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0505634",
    "kind": "arxiv",
    "version": 8
  }
}