Pith Number

pith:AD7VUEQB

pith:2008:AD7VUEQBJDKNYDSATWQSZEN5IR

not attested not anchored not stored refs pending

3-Sasakian manifolds in dimension seven, their spinors and G_2 structures

Ilka Agricola, Thomas Friedrich

arxiv:0812.1651 v1 · 2008-12-09 · math.DG · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AD7VUEQBJDKNYDSATWQSZEN5IR}

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	2026-05-18T02:15:11.309472Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00ff5a120148d4dc0e409da12c91bd4452773b687dfa59c991564111b339f293

Aliases

arxiv: 0812.1651 · arxiv_version: 0812.1651v1 · doi: 10.48550/arxiv.0812.1651 · pith_short_12: AD7VUEQBJDKN · pith_short_16: AD7VUEQBJDKNYDSA · pith_short_8: AD7VUEQB

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/AD7VUEQBJDKNYDSATWQSZEN5IR \
  | 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: 00ff5a120148d4dc0e409da12c91bd4452773b687dfa59c991564111b339f293

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f79c974e120b337947ab28fdb24f94730ce007e6055c39663cb0db4143bd633",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2008-12-09T10:37:19Z",
    "title_canon_sha256": "5651c60fe395bba1a510f2cb7766aaaa40c1ae50d6093dbaeb1036ab55859cbd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.1651",
    "kind": "arxiv",
    "version": 1
  }
}