Pith Number

pith:6WYXXTHK

pith:2013:6WYXXTHKEIW4TOBABY4KGAJ4L5

not attested not anchored not stored refs pending

Torsion-free $G_{2(2)}^*$-structures with full holonomy on nilmanifolds

Anna Fino, Ignacio Luj\'an

arxiv:1307.2710 v3 · 2013-07-10 · 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{6WYXXTHKEIW4TOBABY4KGAJ4L5}

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	2026-05-18T02:55:36.303650Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5b17bccea222dc9b8200e38a3013c5f7285dcb5cc2dc0b7f7c8ee6c67635892

Aliases

arxiv: 1307.2710 · arxiv_version: 1307.2710v3 · doi: 10.48550/arxiv.1307.2710 · pith_short_12: 6WYXXTHKEIW4 · pith_short_16: 6WYXXTHKEIW4TOBA · pith_short_8: 6WYXXTHK

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/6WYXXTHKEIW4TOBABY4KGAJ4L5 \
  | 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: f5b17bccea222dc9b8200e38a3013c5f7285dcb5cc2dc0b7f7c8ee6c67635892

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "660a6e46404350623c99ba8e5d3e5af7a2f1925189bd0a02d4039d3ddde9eed4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-07-10T08:14:23Z",
    "title_canon_sha256": "9aeff02da172236ba202ab05e4e49dac37a03bfd238246504dc5221e3ddbbbbd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.2710",
    "kind": "arxiv",
    "version": 3
  }
}