Pith Number

pith:MALKS567

pith:2011:MALKS567PAQ5AKLKCQSBEZZFTP

not attested not anchored not stored refs pending

A Note on Closed G_2-Structures and 3-Manifolds

Albert J. Todd, Hyunjoo Cho, Sema Salur

arxiv:1112.0830 v1 · 2011-12-05 · math.DG · hep-th · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MALKS567PAQ5AKLKCQSBEZZFTP}

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	2026-05-18T04:06:57.665766Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6016a977df7821d0296a14241267259bc833e4319d7586d0e57d96db703d877c

Aliases

arxiv: 1112.0830 · arxiv_version: 1112.0830v1 · doi: 10.48550/arxiv.1112.0830 · pith_short_12: MALKS567PAQ5 · pith_short_16: MALKS567PAQ5AKLK · pith_short_8: MALKS567

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/MALKS567PAQ5AKLKCQSBEZZFTP \
  | 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: 6016a977df7821d0296a14241267259bc833e4319d7586d0e57d96db703d877c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40ae53cd2dc1ba602d7583e3878788909f02b65d3a15751b802674c10ecd206f",
    "cross_cats_sorted": [
      "hep-th",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-12-05T04:48:50Z",
    "title_canon_sha256": "784d9eac00173708c266b4044e31b04d2e0eb1b64539045faaffef8712057f66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0830",
    "kind": "arxiv",
    "version": 1
  }
}