Pith Number

pith:GBIPKLKA

pith:2007:GBIPKLKA5RX7LEVDGLDXGGM2LM

not attested not anchored not stored refs pending

Flows of Spin(7)-structures

Spiro Karigiannis

arxiv:0709.4594 v2 · 2007-09-28 · 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{GBIPKLKA5RX7LEVDGLDXGGM2LM}

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.

Cited by

1 paper in Pith

Dynamics of Cayley Forms

Receipt and verification

First computed	2026-07-04T15:36:01.546334Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3050f52d40ec6ff592a332c773199a5b2fbfbe43262e3c7ec3a5eacf3b61e860

Aliases

arxiv: 0709.4594 · arxiv_version: 0709.4594v2 · doi: 10.48550/arxiv.0709.4594 · pith_short_12: GBIPKLKA5RX7 · pith_short_16: GBIPKLKA5RX7LEVD · pith_short_8: GBIPKLKA

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/GBIPKLKA5RX7LEVDGLDXGGM2LM \
  | 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: 3050f52d40ec6ff592a332c773199a5b2fbfbe43262e3c7ec3a5eacf3b61e860

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e736434153e517ac7b9557d15eff0a413120defb1485f2412e42c8afd185b2f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2007-09-28T12:17:43Z",
    "title_canon_sha256": "b9e8738dc1ede423909c0c9f37d0d214ab6576253cf5f5261ea1d7d995ed2762"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.4594",
    "kind": "arxiv",
    "version": 2
  }
}