Pith Number

pith:BOLIKFJM

pith:2011:BOLIKFJM3TRECWKFD344ZFNAQX

not attested not anchored not stored refs pending

Laplacian Flow for Closed $G_2$-Structures: Short Time Behavior

Feng Xu, Robert Bryant

arxiv:1101.2004 v1 · 2011-01-11 · math.DG

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BOLIKFJM3TRECWKFD344ZFNAQX}

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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.

Cited by

3 papers in Pith

Flows of conformally coclosed $G_2$-structures with dilaton

The hypersymplectic flow descended from the $G_2$-Laplacian coflow

Geometric Reductions of the $G_2$-Hilbert Functional via Circle Actions

Receipt and verification

First computed	2026-05-18T04:31:50.902111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b9685152cdce24159451ef9cc95a085ffe36b8726c37fba9d5c6ae1c7599f5a

Aliases

arxiv: 1101.2004 · arxiv_version: 1101.2004v1 · doi: 10.48550/arxiv.1101.2004 · pith_short_12: BOLIKFJM3TRE · pith_short_16: BOLIKFJM3TRECWKF · pith_short_8: BOLIKFJM

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/BOLIKFJM3TRECWKFD344ZFNAQX \
  | 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: 0b9685152cdce24159451ef9cc95a085ffe36b8726c37fba9d5c6ae1c7599f5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b2db15e11dbdd28783cee3f2ab45f5bba0f50d05e57146f7c2da3c34b17f3c4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-01-11T02:21:21Z",
    "title_canon_sha256": "c30a1300c2fd488ca6ea02f7ae518ddc35bdbcded85f6e0e6916200b33d97876"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.2004",
    "kind": "arxiv",
    "version": 1
  }
}