Pith Number

pith:NFR6SE5I

pith:2011:NFR6SE5IXX3MNGUXKP4I33AWEC

not attested not anchored not stored refs pending

Soliton solutions for the Laplacian coflow of some $G_2$-structures with symmetry

Benjamin McKay, Mao-Pei Tsui, Spiro Karigiannis

arxiv:1108.2192 v2 · 2011-08-10 · 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{NFR6SE5IXX3MNGUXKP4I33AWEC}

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	2026-05-18T03:51:00.360308Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6963e913a8bdf6c69a9753f88dec16208444893fc3c7582f302b33eee978e792

Aliases

arxiv: 1108.2192 · arxiv_version: 1108.2192v2 · doi: 10.48550/arxiv.1108.2192 · pith_short_12: NFR6SE5IXX3M · pith_short_16: NFR6SE5IXX3MNGUX · pith_short_8: NFR6SE5I

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/NFR6SE5IXX3MNGUXKP4I33AWEC \
  | 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: 6963e913a8bdf6c69a9753f88dec16208444893fc3c7582f302b33eee978e792

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0282b295babc183de87e83b5e012957b77b696dbea4ec95e0a988ae0d1b4619b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-08-10T14:35:05Z",
    "title_canon_sha256": "248965fcd2ad826e7d565cc3246047866dff63fb0943390624479bbc2f224bec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.2192",
    "kind": "arxiv",
    "version": 2
  }
}