Pith Number

pith:AG2PAXJ6

pith:2011:AG2PAXJ6ODTYJ7PJN3OETEBYPU

not attested not anchored not stored refs pending

What is... a G_2 manifold?

Spiro Karigiannis

arxiv:1104.2296 v1 · 2011-04-12 · 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{AG2PAXJ6ODTYJ7PJN3OETEBYPU}

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	2026-05-18T04:24:35.516501Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01b4f05d3e70e784fde96edc4990387d128244740d1bced7ea164382fb495a9e

Aliases

arxiv: 1104.2296 · arxiv_version: 1104.2296v1 · doi: 10.48550/arxiv.1104.2296 · pith_short_12: AG2PAXJ6ODTY · pith_short_16: AG2PAXJ6ODTYJ7PJ · pith_short_8: AG2PAXJ6

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/AG2PAXJ6ODTYJ7PJN3OETEBYPU \
  | 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: 01b4f05d3e70e784fde96edc4990387d128244740d1bced7ea164382fb495a9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "619d0732ba4c07f9cb3b50b322afac7305770fd395daaf7ab521449cfa34346f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-04-12T18:37:27Z",
    "title_canon_sha256": "2f7dfd879c76973d06aa5002c36400513de7e1c3d45d84ad4c4887480f1459b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.2296",
    "kind": "arxiv",
    "version": 1
  }
}