Pith Number

pith:ZSVG3IUJ

pith:2012:ZSVG3IUJG4SXDYJTMKF5ZCZ76N

not attested not anchored not stored refs pending

New invariants of G_2-structures

Diarmuid Crowley, Johannes Nordstr\"om

arxiv:1211.0269 v3 · 2012-11-01 · math.GT · 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{ZSVG3IUJG4SXDYJTMKF5ZCZ76N}

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	2026-05-18T01:28:44.522532Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccaa6da289372571e133628bdc8b3ff342ca8a052982ed4110189024d337d897

Aliases

arxiv: 1211.0269 · arxiv_version: 1211.0269v3 · doi: 10.48550/arxiv.1211.0269 · pith_short_12: ZSVG3IUJG4SX · pith_short_16: ZSVG3IUJG4SXDYJT · pith_short_8: ZSVG3IUJ

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/ZSVG3IUJG4SXDYJTMKF5ZCZ76N \
  | 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: ccaa6da289372571e133628bdc8b3ff342ca8a052982ed4110189024d337d897

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f9d6f8c63f4645e1812d0979a939af4040bbe039f4e17261a319b0cbb0db40b",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-11-01T19:54:17Z",
    "title_canon_sha256": "cdaec946990d5eb685a71ddd0a477ec9a024732ebb46815f9beaca3fcef5b353"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.0269",
    "kind": "arxiv",
    "version": 3
  }
}